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Finding the Fourth Proportional to 616,643.20, 924,835.20 and 261,668.80

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Solution

The fourth proportional to 616,643.20, 924,835.20 and 261,668.80 is: 392,448.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,643.20 : 924,835.20 = 261,668.80 : x
  2. Step 2: Convert to fraction form
    616,643.20/924,835.20 = 261,668.80/x
  3. Step 3: Cross multiply
    616,643.20x = 924,835.20 × 261,668.80
  4. Step 4: Simplify right side
    616,643.20x = 242,000,516,981.76
  5. Step 5: Solve for x
    x = 242,000,516,981.76/616,643.20
  6. Step 6: Final answer
    x = 392,448.21

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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.