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Finding the Fourth Proportional to 868,973,781.60, 1,301,760,061.20 and 522,899,402.40

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Solution

The fourth proportional to 868,973,781.60, 1,301,760,061.20 and 522,899,402.40 is: 783,325,771.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    868,973,781.60 : 1,301,760,061.20 = 522,899,402.40 : x
  2. Step 2: Convert to fraction form
    868,973,781.60/1,301,760,061.20 = 522,899,402.40/x
  3. Step 3: Cross multiply
    868,973,781.60x = 1,301,760,061.20 × 522,899,402.40
  4. Step 4: Simplify right side
    868,973,781.60x = 680,689,558,069,667,456
  5. Step 5: Solve for x
    x = 680,689,558,069,667,456/868,973,781.60
  6. Step 6: Final answer
    x = 783,325,771.71

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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.