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Finding the Fourth Proportional to 861,473,854.32, 1,188,827,766.36 and 470,333,266.80

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Solution

The fourth proportional to 861,473,854.32, 1,188,827,766.36 and 470,333,266.80 is: 649,056,549.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,473,854.32 : 1,188,827,766.36 = 470,333,266.80 : x
  2. Step 2: Convert to fraction form
    861,473,854.32/1,188,827,766.36 = 470,333,266.80/x
  3. Step 3: Cross multiply
    861,473,854.32x = 1,188,827,766.36 × 470,333,266.80
  4. Step 4: Simplify right side
    861,473,854.32x = 559,145,247,014,645,888
  5. Step 5: Solve for x
    x = 559,145,247,014,645,888/861,473,854.32
  6. Step 6: Final answer
    x = 649,056,549.09

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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.