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Finding the Fourth Proportional to 506,381.28, 698,595.12 and 291,469.92

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Solution

The fourth proportional to 506,381.28, 698,595.12 and 291,469.92 is: 402,107.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,381.28 : 698,595.12 = 291,469.92 : x
  2. Step 2: Convert to fraction form
    506,381.28/698,595.12 = 291,469.92/x
  3. Step 3: Cross multiply
    506,381.28x = 698,595.12 × 291,469.92
  4. Step 4: Simplify right side
    506,381.28x = 203,619,463,738.79
  5. Step 5: Solve for x
    x = 203,619,463,738.79/506,381.28
  6. Step 6: Final answer
    x = 402,107.01

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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.