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Finding the Fourth Proportional to 257,547.20, 386,320.80 and 178,815.20

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Solution

The fourth proportional to 257,547.20, 386,320.80 and 178,815.20 is: 268,222.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,547.20 : 386,320.80 = 178,815.20 : x
  2. Step 2: Convert to fraction form
    257,547.20/386,320.80 = 178,815.20/x
  3. Step 3: Cross multiply
    257,547.20x = 386,320.80 × 178,815.20
  4. Step 4: Simplify right side
    257,547.20x = 69,080,031,116.16
  5. Step 5: Solve for x
    x = 69,080,031,116.16/257,547.20
  6. Step 6: Final answer
    x = 268,222.80

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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.