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Finding the Fourth Proportional to 185,894,509.60, 278,841,764.40 and 142,980,320.80

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Solution

The fourth proportional to 185,894,509.60, 278,841,764.40 and 142,980,320.80 is: 214,470,481.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,894,509.60 : 278,841,764.40 = 142,980,320.80 : x
  2. Step 2: Convert to fraction form
    185,894,509.60/278,841,764.40 = 142,980,320.80/x
  3. Step 3: Cross multiply
    185,894,509.60x = 278,841,764.40 × 142,980,320.80
  4. Step 4: Simplify right side
    185,894,509.60x = 39,868,884,926,350,016
  5. Step 5: Solve for x
    x = 39,868,884,926,350,016/185,894,509.60
  6. Step 6: Final answer
    x = 214,470,481.20

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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.