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Finding the Fourth Proportional to 477,859.92, 659,412.66 and 284,256.96

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Solution

The fourth proportional to 477,859.92, 659,412.66 and 284,256.96 is: 392,254.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,859.92 : 659,412.66 = 284,256.96 : x
  2. Step 2: Convert to fraction form
    477,859.92/659,412.66 = 284,256.96/x
  3. Step 3: Cross multiply
    477,859.92x = 659,412.66 × 284,256.96
  4. Step 4: Simplify right side
    477,859.92x = 187,442,638,117.11
  5. Step 5: Solve for x
    x = 187,442,638,117.11/477,859.92
  6. Step 6: Final answer
    x = 392,254.36

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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.