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Finding the Fourth Proportional to 653,659.28, 902,148 and 399,157.28

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Solution

The fourth proportional to 653,659.28, 902,148 and 399,157.28 is: 550,897.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,659.28 : 902,148 = 399,157.28 : x
  2. Step 2: Convert to fraction form
    653,659.28/902,148 = 399,157.28/x
  3. Step 3: Cross multiply
    653,659.28x = 902,148 × 399,157.28
  4. Step 4: Simplify right side
    653,659.28x = 360,098,941,837.44
  5. Step 5: Solve for x
    x = 360,098,941,837.44/653,659.28
  6. Step 6: Final answer
    x = 550,897.01

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1.5x scale

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.