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Finding the Fourth Proportional to 745,199,200.40, 1,028,344,956 and 406,100,475.15

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Solution

The fourth proportional to 745,199,200.40, 1,028,344,956 and 406,100,475.15 is: 560,402,339.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,199,200.40 : 1,028,344,956 = 406,100,475.15 : x
  2. Step 2: Convert to fraction form
    745,199,200.40/1,028,344,956 = 406,100,475.15/x
  3. Step 3: Cross multiply
    745,199,200.40x = 1,028,344,956 × 406,100,475.15
  4. Step 4: Simplify right side
    745,199,200.40x = 417,611,375,249,705,792
  5. Step 5: Solve for x
    x = 417,611,375,249,705,792/745,199,200.40
  6. Step 6: Final answer
    x = 560,402,339.44

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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.