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Finding the Fourth Proportional to 257,849.80, 386,774.70 and 235,688.20

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Solution

The fourth proportional to 257,849.80, 386,774.70 and 235,688.20 is: 353,532.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,849.80 : 386,774.70 = 235,688.20 : x
  2. Step 2: Convert to fraction form
    257,849.80/386,774.70 = 235,688.20/x
  3. Step 3: Cross multiply
    257,849.80x = 386,774.70 × 235,688.20
  4. Step 4: Simplify right side
    257,849.80x = 91,158,232,848.54
  5. Step 5: Solve for x
    x = 91,158,232,848.54/257,849.80
  6. Step 6: Final answer
    x = 353,532.30

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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.