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Finding the Fourth Proportional to 752,656.80, 1,038,678.16 and 413,156

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Solution

The fourth proportional to 752,656.80, 1,038,678.16 and 413,156 is: 570,161.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,656.80 : 1,038,678.16 = 413,156 : x
  2. Step 2: Convert to fraction form
    752,656.80/1,038,678.16 = 413,156/x
  3. Step 3: Cross multiply
    752,656.80x = 1,038,678.16 × 413,156
  4. Step 4: Simplify right side
    752,656.80x = 429,136,113,872.96
  5. Step 5: Solve for x
    x = 429,136,113,872.96/752,656.80
  6. Step 6: Final answer
    x = 570,161.74

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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.