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Finding the Fourth Proportional to 285,452,561.60, 428,178,842.40 and 149,403,665.60

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Solution

The fourth proportional to 285,452,561.60, 428,178,842.40 and 149,403,665.60 is: 224,105,498.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,452,561.60 : 428,178,842.40 = 149,403,665.60 : x
  2. Step 2: Convert to fraction form
    285,452,561.60/428,178,842.40 = 149,403,665.60/x
  3. Step 3: Cross multiply
    285,452,561.60x = 428,178,842.40 × 149,403,665.60
  4. Step 4: Simplify right side
    285,452,561.60x = 63,971,488,586,924,696
  5. Step 5: Solve for x
    x = 63,971,488,586,924,696/285,452,561.60
  6. Step 6: Final answer
    x = 224,105,498.40

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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.