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Finding the Fourth Proportional to 393,663,999.70, 590,495,999.55 and 209,997,990.10

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Solution

The fourth proportional to 393,663,999.70, 590,495,999.55 and 209,997,990.10 is: 314,996,985.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,663,999.70 : 590,495,999.55 = 209,997,990.10 : x
  2. Step 2: Convert to fraction form
    393,663,999.70/590,495,999.55 = 209,997,990.10/x
  3. Step 3: Cross multiply
    393,663,999.70x = 590,495,999.55 × 209,997,990.10
  4. Step 4: Simplify right side
    393,663,999.70x = 124,002,973,067,590,496
  5. Step 5: Solve for x
    x = 124,002,973,067,590,496/393,663,999.70
  6. Step 6: Final answer
    x = 314,996,985.15

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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.