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Finding the Fourth Proportional to 261,985.80, 392,698.92 and 149,423.64

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Solution

The fourth proportional to 261,985.80, 392,698.92 and 149,423.64 is: 223,975.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,985.80 : 392,698.92 = 149,423.64 : x
  2. Step 2: Convert to fraction form
    261,985.80/392,698.92 = 149,423.64/x
  3. Step 3: Cross multiply
    261,985.80x = 392,698.92 × 149,423.64
  4. Step 4: Simplify right side
    261,985.80x = 58,678,502,050.47
  5. Step 5: Solve for x
    x = 58,678,502,050.47/261,985.80
  6. Step 6: Final answer
    x = 223,975.89

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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.