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Finding the Fourth Proportional to 870,069,819.24, 1,200,728,030.58 and 473,573,644.56

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Solution

The fourth proportional to 870,069,819.24, 1,200,728,030.58 and 473,573,644.56 is: 653,548,872.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,069,819.24 : 1,200,728,030.58 = 473,573,644.56 : x
  2. Step 2: Convert to fraction form
    870,069,819.24/1,200,728,030.58 = 473,573,644.56/x
  3. Step 3: Cross multiply
    870,069,819.24x = 1,200,728,030.58 × 473,573,644.56
  4. Step 4: Simplify right side
    870,069,819.24x = 568,633,149,567,121,728
  5. Step 5: Solve for x
    x = 568,633,149,567,121,728/870,069,819.24
  6. Step 6: Final answer
    x = 653,548,872.74

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Why These Related Problems?

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