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Finding the Fourth Proportional to 283,496.42, 391,206.47 and 156,172.01

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Solution

The fourth proportional to 283,496.42, 391,206.47 and 156,172.01 is: 215,507.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,496.42 : 391,206.47 = 156,172.01 : x
  2. Step 2: Convert to fraction form
    283,496.42/391,206.47 = 156,172.01/x
  3. Step 3: Cross multiply
    283,496.42x = 391,206.47 × 156,172.01
  4. Step 4: Simplify right side
    283,496.42x = 61,095,498,008.01
  5. Step 5: Solve for x
    x = 61,095,498,008.01/283,496.42
  6. Step 6: Final answer
    x = 215,507.12

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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.