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Finding the Fourth Proportional to 541,449.98, 747,209.82 and 296,430.64

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Solution

The fourth proportional to 541,449.98, 747,209.82 and 296,430.64 is: 409,079.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,449.98 : 747,209.82 = 296,430.64 : x
  2. Step 2: Convert to fraction form
    541,449.98/747,209.82 = 296,430.64/x
  3. Step 3: Cross multiply
    541,449.98x = 747,209.82 × 296,430.64
  4. Step 4: Simplify right side
    541,449.98x = 221,495,883,288.86
  5. Step 5: Solve for x
    x = 221,495,883,288.86/541,449.98
  6. Step 6: Final answer
    x = 409,079.12

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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.