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Finding the Fourth Proportional to 690,878, 1,035,871.68 and 291,411.92

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Solution

The fourth proportional to 690,878, 1,035,871.68 and 291,411.92 is: 436,930.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,878 : 1,035,871.68 = 291,411.92 : x
  2. Step 2: Convert to fraction form
    690,878/1,035,871.68 = 291,411.92/x
  3. Step 3: Cross multiply
    690,878x = 1,035,871.68 × 291,411.92
  4. Step 4: Simplify right side
    690,878x = 301,865,355,142.43
  5. Step 5: Solve for x
    x = 301,865,355,142.43/690,878
  6. Step 6: Final answer
    x = 436,930.04

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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.