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Finding the Fourth Proportional to 279,909,714.80, 419,864,572.20 and 178,124,985.20

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Solution

The fourth proportional to 279,909,714.80, 419,864,572.20 and 178,124,985.20 is: 267,187,477.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,909,714.80 : 419,864,572.20 = 178,124,985.20 : x
  2. Step 2: Convert to fraction form
    279,909,714.80/419,864,572.20 = 178,124,985.20/x
  3. Step 3: Cross multiply
    279,909,714.80x = 419,864,572.20 × 178,124,985.20
  4. Step 4: Simplify right side
    279,909,714.80x = 74,788,370,709,129,328
  5. Step 5: Solve for x
    x = 74,788,370,709,129,328/279,909,714.80
  6. Step 6: Final answer
    x = 267,187,477.80

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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.