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Finding the Fourth Proportional to 653,657.28, 902,145.24 and 399,155.28

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Solution

The fourth proportional to 653,657.28, 902,145.24 and 399,155.28 is: 550,894.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,657.28 : 902,145.24 = 399,155.28 : x
  2. Step 2: Convert to fraction form
    653,657.28/902,145.24 = 399,155.28/x
  3. Step 3: Cross multiply
    653,657.28x = 902,145.24 × 399,155.28
  4. Step 4: Simplify right side
    653,657.28x = 360,096,035,872.87
  5. Step 5: Solve for x
    x = 360,096,035,872.87/653,657.28
  6. Step 6: Final answer
    x = 550,894.25

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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.