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Finding the Fourth Proportional to 650,176.16, 896,763.84 and 469,484.60

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Solution

The fourth proportional to 650,176.16, 896,763.84 and 469,484.60 is: 647,542.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,176.16 : 896,763.84 = 469,484.60 : x
  2. Step 2: Convert to fraction form
    650,176.16/896,763.84 = 469,484.60/x
  3. Step 3: Cross multiply
    650,176.16x = 896,763.84 × 469,484.60
  4. Step 4: Simplify right side
    650,176.16x = 421,016,812,716.86
  5. Step 5: Solve for x
    x = 421,016,812,716.86/650,176.16
  6. Step 6: Final answer
    x = 647,542.68

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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.