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Finding the Fourth Proportional to 523,621.26, 785,416.20 and 144,565.16

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Solution

The fourth proportional to 523,621.26, 785,416.20 and 144,565.16 is: 216,843.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,621.26 : 785,416.20 = 144,565.16 : x
  2. Step 2: Convert to fraction form
    523,621.26/785,416.20 = 144,565.16/x
  3. Step 3: Cross multiply
    523,621.26x = 785,416.20 × 144,565.16
  4. Step 4: Simplify right side
    523,621.26x = 113,543,814,150.39
  5. Step 5: Solve for x
    x = 113,543,814,150.39/523,621.26
  6. Step 6: Final answer
    x = 216,843.40

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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.