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Finding the Fourth Proportional to 658,051.60, 987,307.80 and 284,342.80

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Solution

The fourth proportional to 658,051.60, 987,307.80 and 284,342.80 is: 426,613.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,051.60 : 987,307.80 = 284,342.80 : x
  2. Step 2: Convert to fraction form
    658,051.60/987,307.80 = 284,342.80/x
  3. Step 3: Cross multiply
    658,051.60x = 987,307.80 × 284,342.80
  4. Step 4: Simplify right side
    658,051.60x = 280,733,864,313.84
  5. Step 5: Solve for x
    x = 280,733,864,313.84/658,051.60
  6. Step 6: Final answer
    x = 426,613.76

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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.