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Finding the Fourth Proportional to 781,854,138.82, 1,078,979,781.79 and 460,004,572.07

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Solution

The fourth proportional to 781,854,138.82, 1,078,979,781.79 and 460,004,572.07 is: 634,818,706.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,854,138.82 : 1,078,979,781.79 = 460,004,572.07 : x
  2. Step 2: Convert to fraction form
    781,854,138.82/1,078,979,781.79 = 460,004,572.07/x
  3. Step 3: Cross multiply
    781,854,138.82x = 1,078,979,781.79 × 460,004,572.07
  4. Step 4: Simplify right side
    781,854,138.82x = 496,335,632,794,490,880
  5. Step 5: Solve for x
    x = 496,335,632,794,490,880/781,854,138.82
  6. Step 6: Final answer
    x = 634,818,706.14

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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.