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Finding the Fourth Proportional to 506,485.78, 698,968.65 and 280,132.90

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Solution

The fourth proportional to 506,485.78, 698,968.65 and 280,132.90 is: 386,593.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,485.78 : 698,968.65 = 280,132.90 : x
  2. Step 2: Convert to fraction form
    506,485.78/698,968.65 = 280,132.90/x
  3. Step 3: Cross multiply
    506,485.78x = 698,968.65 × 280,132.90
  4. Step 4: Simplify right side
    506,485.78x = 195,804,114,933.59
  5. Step 5: Solve for x
    x = 195,804,114,933.59/506,485.78
  6. Step 6: Final answer
    x = 386,593.51

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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.