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Finding the Fourth Proportional to 778,559,824.90, 1,074,415,832.72 and 421,327,618.42

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Solution

The fourth proportional to 778,559,824.90, 1,074,415,832.72 and 421,327,618.42 is: 581,433,885.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,559,824.90 : 1,074,415,832.72 = 421,327,618.42 : x
  2. Step 2: Convert to fraction form
    778,559,824.90/1,074,415,832.72 = 421,327,618.42/x
  3. Step 3: Cross multiply
    778,559,824.90x = 1,074,415,832.72 × 421,327,618.42
  4. Step 4: Simplify right side
    778,559,824.90x = 452,681,063,997,179,264
  5. Step 5: Solve for x
    x = 452,681,063,997,179,264/778,559,824.90
  6. Step 6: Final answer
    x = 581,433,885.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.