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Finding the Fourth Proportional to 649,453.74, 896,207.52 and 359,047.92

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Solution

The fourth proportional to 649,453.74, 896,207.52 and 359,047.92 is: 495,464.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,453.74 : 896,207.52 = 359,047.92 : x
  2. Step 2: Convert to fraction form
    649,453.74/896,207.52 = 359,047.92/x
  3. Step 3: Cross multiply
    649,453.74x = 896,207.52 × 359,047.92
  4. Step 4: Simplify right side
    649,453.74x = 321,781,445,944.36
  5. Step 5: Solve for x
    x = 321,781,445,944.36/649,453.74
  6. Step 6: Final answer
    x = 495,464.77

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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.