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Finding the Fourth Proportional to 261,784.40, 392,493.47 and 133,740.36

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Solution

The fourth proportional to 261,784.40, 392,493.47 and 133,740.36 is: 200,516.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,784.40 : 392,493.47 = 133,740.36 : x
  2. Step 2: Convert to fraction form
    261,784.40/392,493.47 = 133,740.36/x
  3. Step 3: Cross multiply
    261,784.40x = 392,493.47 × 133,740.36
  4. Step 4: Simplify right side
    261,784.40x = 52,492,217,306.75
  5. Step 5: Solve for x
    x = 52,492,217,306.75/261,784.40
  6. Step 6: Final answer
    x = 200,516.98

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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.