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Finding the Fourth Proportional to 506,154.16, 698,462.76 and 279,786.16

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Solution

The fourth proportional to 506,154.16, 698,462.76 and 279,786.16 is: 386,088.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,154.16 : 698,462.76 = 279,786.16 : x
  2. Step 2: Convert to fraction form
    506,154.16/698,462.76 = 279,786.16/x
  3. Step 3: Cross multiply
    506,154.16x = 698,462.76 × 279,786.16
  4. Step 4: Simplify right side
    506,154.16x = 195,420,213,523.40
  5. Step 5: Solve for x
    x = 195,420,213,523.40/506,154.16
  6. Step 6: Final answer
    x = 386,088.33

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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.