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Finding the Fourth Proportional to 284,564.62, 392,780.98 and 187,839.08

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Solution

The fourth proportional to 284,564.62, 392,780.98 and 187,839.08 is: 259,271.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,564.62 : 392,780.98 = 187,839.08 : x
  2. Step 2: Convert to fraction form
    284,564.62/392,780.98 = 187,839.08/x
  3. Step 3: Cross multiply
    284,564.62x = 392,780.98 × 187,839.08
  4. Step 4: Simplify right side
    284,564.62x = 73,779,617,924.70
  5. Step 5: Solve for x
    x = 73,779,617,924.70/284,564.62
  6. Step 6: Final answer
    x = 259,271.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.