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Finding the Fourth Proportional to 387,654.86, 581,430.81 and 147,704.06

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Solution

The fourth proportional to 387,654.86, 581,430.81 and 147,704.06 is: 221,536.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,654.86 : 581,430.81 = 147,704.06 : x
  2. Step 2: Convert to fraction form
    387,654.86/581,430.81 = 147,704.06/x
  3. Step 3: Cross multiply
    387,654.86x = 581,430.81 × 147,704.06
  4. Step 4: Simplify right side
    387,654.86x = 85,879,689,152.17
  5. Step 5: Solve for x
    x = 85,879,689,152.17/387,654.86
  6. Step 6: Final answer
    x = 221,536.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.