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Finding the Fourth Proportional to 499,014.80, 688,639.74 and 284,154.86

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Solution

The fourth proportional to 499,014.80, 688,639.74 and 284,154.86 is: 392,133.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,014.80 : 688,639.74 = 284,154.86 : x
  2. Step 2: Convert to fraction form
    499,014.80/688,639.74 = 284,154.86/x
  3. Step 3: Cross multiply
    499,014.80x = 688,639.74 × 284,154.86
  4. Step 4: Simplify right side
    499,014.80x = 195,680,328,928.03
  5. Step 5: Solve for x
    x = 195,680,328,928.03/499,014.80
  6. Step 6: Final answer
    x = 392,133.32

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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.