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Finding the Fourth Proportional to 287,668.50, 431,503.05 and 155,389.83

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Solution

The fourth proportional to 287,668.50, 431,503.05 and 155,389.83 is: 233,084.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,668.50 : 431,503.05 = 155,389.83 : x
  2. Step 2: Convert to fraction form
    287,668.50/431,503.05 = 155,389.83/x
  3. Step 3: Cross multiply
    287,668.50x = 431,503.05 × 155,389.83
  4. Step 4: Simplify right side
    287,668.50x = 67,051,185,583.98
  5. Step 5: Solve for x
    x = 67,051,185,583.98/287,668.50
  6. Step 6: Final answer
    x = 233,084.91

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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.