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Finding the Fourth Proportional to 287,565.30, 431,347.95 and 181,277.10

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Solution

The fourth proportional to 287,565.30, 431,347.95 and 181,277.10 is: 271,915.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,565.30 : 431,347.95 = 181,277.10 : x
  2. Step 2: Convert to fraction form
    287,565.30/431,347.95 = 181,277.10/x
  3. Step 3: Cross multiply
    287,565.30x = 431,347.95 × 181,277.10
  4. Step 4: Simplify right side
    287,565.30x = 78,193,505,466.95
  5. Step 5: Solve for x
    x = 78,193,505,466.95/287,565.30
  6. Step 6: Final answer
    x = 271,915.65

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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.