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Finding the Fourth Proportional to 979,244,187.60, 1,468,866,281.40 and 688,439,672.40

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Solution

The fourth proportional to 979,244,187.60, 1,468,866,281.40 and 688,439,672.40 is: 1,032,659,508.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    979,244,187.60 : 1,468,866,281.40 = 688,439,672.40 : x
  2. Step 2: Convert to fraction form
    979,244,187.60/1,468,866,281.40 = 688,439,672.40/x
  3. Step 3: Cross multiply
    979,244,187.60x = 1,468,866,281.40 × 688,439,672.40
  4. Step 4: Simplify right side
    979,244,187.60x = 1,011,225,821,566,422,272
  5. Step 5: Solve for x
    x = 1,011,225,821,566,422,272/979,244,187.60
  6. Step 6: Final answer
    x = 1,032,659,508.60

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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.