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Finding the Fourth Proportional to 315,425.17, 470,723.90 and 281,767.24

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Solution

The fourth proportional to 315,425.17, 470,723.90 and 281,767.24 is: 420,494.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,425.17 : 470,723.90 = 281,767.24 : x
  2. Step 2: Convert to fraction form
    315,425.17/470,723.90 = 281,767.24/x
  3. Step 3: Cross multiply
    315,425.17x = 470,723.90 × 281,767.24
  4. Step 4: Simplify right side
    315,425.17x = 132,634,574,105.04
  5. Step 5: Solve for x
    x = 132,634,574,105.04/315,425.17
  6. Step 6: Final answer
    x = 420,494.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.