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Finding the Fourth Proportional to 423,046.62, 634,613.67 and 142,585.74

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Solution

The fourth proportional to 423,046.62, 634,613.67 and 142,585.74 is: 213,893.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,046.62 : 634,613.67 = 142,585.74 : x
  2. Step 2: Convert to fraction form
    423,046.62/634,613.67 = 142,585.74/x
  3. Step 3: Cross multiply
    423,046.62x = 634,613.67 × 142,585.74
  4. Step 4: Simplify right side
    423,046.62x = 90,486,859,751.07
  5. Step 5: Solve for x
    x = 90,486,859,751.07/423,046.62
  6. Step 6: Final answer
    x = 213,893.35

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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.