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Finding the Fourth Proportional to 306,053,138.90, 429,381,387.10 and 306,053,138.90

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Solution

The fourth proportional to 306,053,138.90, 429,381,387.10 and 306,053,138.90 is: 429,381,387.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,053,138.90 : 429,381,387.10 = 306,053,138.90 : x
  2. Step 2: Convert to fraction form
    306,053,138.90/429,381,387.10 = 306,053,138.90/x
  3. Step 3: Cross multiply
    306,053,138.90x = 429,381,387.10 × 306,053,138.90
  4. Step 4: Simplify right side
    306,053,138.90x = 131,413,521,307,190,960
  5. Step 5: Solve for x
    x = 131,413,521,307,190,960/306,053,138.90
  6. Step 6: Final answer
    x = 429,381,387.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.