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Finding the Fourth Proportional to 287,854.08, 431,567.85 and 137,951.64

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Solution

The fourth proportional to 287,854.08, 431,567.85 and 137,951.64 is: 206,825.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,854.08 : 431,567.85 = 137,951.64 : x
  2. Step 2: Convert to fraction form
    287,854.08/431,567.85 = 137,951.64/x
  3. Step 3: Cross multiply
    287,854.08x = 431,567.85 × 137,951.64
  4. Step 4: Simplify right side
    287,854.08x = 59,535,492,678.77
  5. Step 5: Solve for x
    x = 59,535,492,678.77/287,854.08
  6. Step 6: Final answer
    x = 206,825.25

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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.