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Finding the Fourth Proportional to 508,705.92, 701,887.68 and 282,294.72

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Solution

The fourth proportional to 508,705.92, 701,887.68 and 282,294.72 is: 389,496.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,705.92 : 701,887.68 = 282,294.72 : x
  2. Step 2: Convert to fraction form
    508,705.92/701,887.68 = 282,294.72/x
  3. Step 3: Cross multiply
    508,705.92x = 701,887.68 × 282,294.72
  4. Step 4: Simplify right side
    508,705.92x = 198,139,186,097.05
  5. Step 5: Solve for x
    x = 198,139,186,097.05/508,705.92
  6. Step 6: Final answer
    x = 389,496.52

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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.