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Finding the Fourth Proportional to 598,114.80, 896,135.40 and 387,644.40

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Solution

The fourth proportional to 598,114.80, 896,135.40 and 387,644.40 is: 580,794.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,114.80 : 896,135.40 = 387,644.40 : x
  2. Step 2: Convert to fraction form
    598,114.80/896,135.40 = 387,644.40/x
  3. Step 3: Cross multiply
    598,114.80x = 896,135.40 × 387,644.40
  4. Step 4: Simplify right side
    598,114.80x = 347,381,869,451.76
  5. Step 5: Solve for x
    x = 347,381,869,451.76/598,114.80
  6. Step 6: Final answer
    x = 580,794.64

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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.