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Finding the Fourth Proportional to 387,430.92, 534,438.81 and 360,030.96

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Solution

The fourth proportional to 387,430.92, 534,438.81 and 360,030.96 is: 496,642.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,430.92 : 534,438.81 = 360,030.96 : x
  2. Step 2: Convert to fraction form
    387,430.92/534,438.81 = 360,030.96/x
  3. Step 3: Cross multiply
    387,430.92x = 534,438.81 × 360,030.96
  4. Step 4: Simplify right side
    387,430.92x = 192,414,517,825.56
  5. Step 5: Solve for x
    x = 192,414,517,825.56/387,430.92
  6. Step 6: Final answer
    x = 496,642.13

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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.