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Finding the Fourth Proportional to 429,692,873.90, 644,789,417.78 and 180,680,132.12

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Solution

The fourth proportional to 429,692,873.90, 644,789,417.78 and 180,680,132.12 is: 271,125,364.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,692,873.90 : 644,789,417.78 = 180,680,132.12 : x
  2. Step 2: Convert to fraction form
    429,692,873.90/644,789,417.78 = 180,680,132.12/x
  3. Step 3: Cross multiply
    429,692,873.90x = 644,789,417.78 × 180,680,132.12
  4. Step 4: Simplify right side
    429,692,873.90x = 116,500,637,191,296,048
  5. Step 5: Solve for x
    x = 116,500,637,191,296,048/429,692,873.90
  6. Step 6: Final answer
    x = 271,125,364.81

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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.