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Finding the Fourth Proportional to 510,888.96, 705,026.72 and 284,534.40

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Solution

The fourth proportional to 510,888.96, 705,026.72 and 284,534.40 is: 392,657.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,888.96 : 705,026.72 = 284,534.40 : x
  2. Step 2: Convert to fraction form
    510,888.96/705,026.72 = 284,534.40/x
  3. Step 3: Cross multiply
    510,888.96x = 705,026.72 × 284,534.40
  4. Step 4: Simplify right side
    510,888.96x = 200,604,354,759.17
  5. Step 5: Solve for x
    x = 200,604,354,759.17/510,888.96
  6. Step 6: Final answer
    x = 392,657.45

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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.