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Finding the Fourth Proportional to 870,069,843.20, 1,200,728,063.68 and 473,573,668.64

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Solution

The fourth proportional to 870,069,843.20, 1,200,728,063.68 and 473,573,668.64 is: 653,548,905.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,069,843.20 : 1,200,728,063.68 = 473,573,668.64 : x
  2. Step 2: Convert to fraction form
    870,069,843.20/1,200,728,063.68 = 473,573,668.64/x
  3. Step 3: Cross multiply
    870,069,843.20x = 1,200,728,063.68 × 473,573,668.64
  4. Step 4: Simplify right side
    870,069,843.20x = 568,633,194,155,941,184
  5. Step 5: Solve for x
    x = 568,633,194,155,941,184/870,069,843.20
  6. Step 6: Final answer
    x = 653,548,905.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.