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Finding the Fourth Proportional to 243,024.50, 335,386.77 and 142,454.90

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Solution

The fourth proportional to 243,024.50, 335,386.77 and 142,454.90 is: 196,595.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,024.50 : 335,386.77 = 142,454.90 : x
  2. Step 2: Convert to fraction form
    243,024.50/335,386.77 = 142,454.90/x
  3. Step 3: Cross multiply
    243,024.50x = 335,386.77 × 142,454.90
  4. Step 4: Simplify right side
    243,024.50x = 47,777,488,781.67
  5. Step 5: Solve for x
    x = 47,777,488,781.67/243,024.50
  6. Step 6: Final answer
    x = 196,595.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.