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Finding the Fourth Proportional to 564,478.80, 778,986.48 and 309,824.40

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Solution

The fourth proportional to 564,478.80, 778,986.48 and 309,824.40 is: 427,560.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,478.80 : 778,986.48 = 309,824.40 : x
  2. Step 2: Convert to fraction form
    564,478.80/778,986.48 = 309,824.40/x
  3. Step 3: Cross multiply
    564,478.80x = 778,986.48 × 309,824.40
  4. Step 4: Simplify right side
    564,478.80x = 241,349,018,774.11
  5. Step 5: Solve for x
    x = 241,349,018,774.11/564,478.80
  6. Step 6: Final answer
    x = 427,560.82

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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.