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Finding the Fourth Proportional to 257,527.80, 386,291.70 and 238,865.40

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Solution

The fourth proportional to 257,527.80, 386,291.70 and 238,865.40 is: 358,298.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,527.80 : 386,291.70 = 238,865.40 : x
  2. Step 2: Convert to fraction form
    257,527.80/386,291.70 = 238,865.40/x
  3. Step 3: Cross multiply
    257,527.80x = 386,291.70 × 238,865.40
  4. Step 4: Simplify right side
    257,527.80x = 92,271,721,437.18
  5. Step 5: Solve for x
    x = 92,271,721,437.18/257,527.80
  6. Step 6: Final answer
    x = 358,298.10

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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.