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Finding the Fourth Proportional to 473,471,999.60, 710,207,999.40 and 343,469,721.20

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Solution

The fourth proportional to 473,471,999.60, 710,207,999.40 and 343,469,721.20 is: 515,204,581.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,471,999.60 : 710,207,999.40 = 343,469,721.20 : x
  2. Step 2: Convert to fraction form
    473,471,999.60/710,207,999.40 = 343,469,721.20/x
  3. Step 3: Cross multiply
    473,471,999.60x = 710,207,999.40 × 343,469,721.20
  4. Step 4: Simplify right side
    473,471,999.60x = 243,934,943,547,927,744
  5. Step 5: Solve for x
    x = 243,934,943,547,927,744/473,471,999.60
  6. Step 6: Final answer
    x = 515,204,581.80

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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.