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Finding the Fourth Proportional to 261,735.65, 392,798.88 and 194,423.12

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Solution

The fourth proportional to 261,735.65, 392,798.88 and 194,423.12 is: 291,779.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,735.65 : 392,798.88 = 194,423.12 : x
  2. Step 2: Convert to fraction form
    261,735.65/392,798.88 = 194,423.12/x
  3. Step 3: Cross multiply
    261,735.65x = 392,798.88 × 194,423.12
  4. Step 4: Simplify right side
    261,735.65x = 76,369,181,818.11
  5. Step 5: Solve for x
    x = 76,369,181,818.11/261,735.65
  6. Step 6: Final answer
    x = 291,779.83

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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.