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Finding the Fourth Proportional to 287,267.26, 430,715.80 and 137,503.93

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Solution

The fourth proportional to 287,267.26, 430,715.80 and 137,503.93 is: 206,167.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,267.26 : 430,715.80 = 137,503.93 : x
  2. Step 2: Convert to fraction form
    287,267.26/430,715.80 = 137,503.93/x
  3. Step 3: Cross multiply
    287,267.26x = 430,715.80 × 137,503.93
  4. Step 4: Simplify right side
    287,267.26x = 59,225,115,213.09
  5. Step 5: Solve for x
    x = 59,225,115,213.09/287,267.26
  6. Step 6: Final answer
    x = 206,167.30

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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.