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Finding the Fourth Proportional to 611,195.86, 916,981.49 and 291,755.36

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Solution

The fourth proportional to 611,195.86, 916,981.49 and 291,755.36 is: 437,722.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,195.86 : 916,981.49 = 291,755.36 : x
  2. Step 2: Convert to fraction form
    611,195.86/916,981.49 = 291,755.36/x
  3. Step 3: Cross multiply
    611,195.86x = 916,981.49 × 291,755.36
  4. Step 4: Simplify right side
    611,195.86x = 267,534,264,728.29
  5. Step 5: Solve for x
    x = 267,534,264,728.29/611,195.86
  6. Step 6: Final answer
    x = 437,722.64

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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.