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Finding the Fourth Proportional to 287,457.91, 430,877.27 and 137,379.14

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Solution

The fourth proportional to 287,457.91, 430,877.27 and 137,379.14 is: 205,920.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,457.91 : 430,877.27 = 137,379.14 : x
  2. Step 2: Convert to fraction form
    287,457.91/430,877.27 = 137,379.14/x
  3. Step 3: Cross multiply
    287,457.91x = 430,877.27 × 137,379.14
  4. Step 4: Simplify right side
    287,457.91x = 59,193,548,603.00
  5. Step 5: Solve for x
    x = 59,193,548,603.00/287,457.91
  6. Step 6: Final answer
    x = 205,920.75

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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.