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Finding the Fourth Proportional to 257,210.40, 385,815.60 and 88,730.40

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Solution

The fourth proportional to 257,210.40, 385,815.60 and 88,730.40 is: 133,095.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,210.40 : 385,815.60 = 88,730.40 : x
  2. Step 2: Convert to fraction form
    257,210.40/385,815.60 = 88,730.40/x
  3. Step 3: Cross multiply
    257,210.40x = 385,815.60 × 88,730.40
  4. Step 4: Simplify right side
    257,210.40x = 34,233,572,514.24
  5. Step 5: Solve for x
    x = 34,233,572,514.24/257,210.40
  6. Step 6: Final answer
    x = 133,095.60

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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.