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Finding the Fourth Proportional to 506,312.24, 698,711.07 and 288,514.68

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Solution

The fourth proportional to 506,312.24, 698,711.07 and 288,514.68 is: 398,150.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,312.24 : 698,711.07 = 288,514.68 : x
  2. Step 2: Convert to fraction form
    506,312.24/698,711.07 = 288,514.68/x
  3. Step 3: Cross multiply
    506,312.24x = 698,711.07 × 288,514.68
  4. Step 4: Simplify right side
    506,312.24x = 201,588,400,052.22
  5. Step 5: Solve for x
    x = 201,588,400,052.22/506,312.24
  6. Step 6: Final answer
    x = 398,150.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.