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Finding the Fourth Proportional to 287,008.78, 430,520.25 and 137,264.89

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Solution

The fourth proportional to 287,008.78, 430,520.25 and 137,264.89 is: 205,900.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,008.78 : 430,520.25 = 137,264.89 : x
  2. Step 2: Convert to fraction form
    287,008.78/430,520.25 = 137,264.89/x
  3. Step 3: Cross multiply
    287,008.78x = 430,520.25 × 137,264.89
  4. Step 4: Simplify right side
    287,008.78x = 59,095,314,759.02
  5. Step 5: Solve for x
    x = 59,095,314,759.02/287,008.78
  6. Step 6: Final answer
    x = 205,900.72

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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.