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Finding the Fourth Proportional to 312,870, 469,312.68 and 113,209.20

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Solution

The fourth proportional to 312,870, 469,312.68 and 113,209.20 is: 169,816.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,870 : 469,312.68 = 113,209.20 : x
  2. Step 2: Convert to fraction form
    312,870/469,312.68 = 113,209.20/x
  3. Step 3: Cross multiply
    312,870x = 469,312.68 × 113,209.20
  4. Step 4: Simplify right side
    312,870x = 53,130,513,052.66
  5. Step 5: Solve for x
    x = 53,130,513,052.66/312,870
  6. Step 6: Final answer
    x = 169,816.58

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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.