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Finding the Fourth Proportional to 653,565.16, 980,478.96 and 298,483.84

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Solution

The fourth proportional to 653,565.16, 980,478.96 and 298,483.84 is: 447,785.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,565.16 : 980,478.96 = 298,483.84 : x
  2. Step 2: Convert to fraction form
    653,565.16/980,478.96 = 298,483.84/x
  3. Step 3: Cross multiply
    653,565.16x = 980,478.96 × 298,483.84
  4. Step 4: Simplify right side
    653,565.16x = 292,657,125,020.01
  5. Step 5: Solve for x
    x = 292,657,125,020.01/653,565.16
  6. Step 6: Final answer
    x = 447,785.69

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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.