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Finding the Fourth Proportional to 257,547.70, 386,321.55 and 178,815.70

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Solution

The fourth proportional to 257,547.70, 386,321.55 and 178,815.70 is: 268,223.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,547.70 : 386,321.55 = 178,815.70 : x
  2. Step 2: Convert to fraction form
    257,547.70/386,321.55 = 178,815.70/x
  3. Step 3: Cross multiply
    257,547.70x = 386,321.55 × 178,815.70
  4. Step 4: Simplify right side
    257,547.70x = 69,080,358,388.34
  5. Step 5: Solve for x
    x = 69,080,358,388.34/257,547.70
  6. Step 6: Final answer
    x = 268,223.55

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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.