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Finding the Fourth Proportional to 230,479.29, 317,948.35 and 154,017.16

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Solution

The fourth proportional to 230,479.29, 317,948.35 and 154,017.16 is: 212,468.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,479.29 : 317,948.35 = 154,017.16 : x
  2. Step 2: Convert to fraction form
    230,479.29/317,948.35 = 154,017.16/x
  3. Step 3: Cross multiply
    230,479.29x = 317,948.35 × 154,017.16
  4. Step 4: Simplify right side
    230,479.29x = 48,969,501,893.69
  5. Step 5: Solve for x
    x = 48,969,501,893.69/230,479.29
  6. Step 6: Final answer
    x = 212,468.12

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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.