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Finding the Fourth Proportional to 257,308.79, 385,881.37 and 240,517.08

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Solution

The fourth proportional to 257,308.79, 385,881.37 and 240,517.08 is: 360,699.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,308.79 : 385,881.37 = 240,517.08 : x
  2. Step 2: Convert to fraction form
    257,308.79/385,881.37 = 240,517.08/x
  3. Step 3: Cross multiply
    257,308.79x = 385,881.37 × 240,517.08
  4. Step 4: Simplify right side
    257,308.79x = 92,811,059,737.51
  5. Step 5: Solve for x
    x = 92,811,059,737.51/257,308.79
  6. Step 6: Final answer
    x = 360,699.15

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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.