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Finding the Fourth Proportional to 506,486.79, 698,904.86 and 280,127.43

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Solution

The fourth proportional to 506,486.79, 698,904.86 and 280,127.43 is: 386,549.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,486.79 : 698,904.86 = 280,127.43 : x
  2. Step 2: Convert to fraction form
    506,486.79/698,904.86 = 280,127.43/x
  3. Step 3: Cross multiply
    506,486.79x = 698,904.86 × 280,127.43
  4. Step 4: Simplify right side
    506,486.79x = 195,782,420,845.67
  5. Step 5: Solve for x
    x = 195,782,420,845.67/506,486.79
  6. Step 6: Final answer
    x = 386,549.91

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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.