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Finding the Fourth Proportional to 357,255.37, 536,013.92 and 257,528.17

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Solution

The fourth proportional to 357,255.37, 536,013.92 and 257,528.17 is: 386,386.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,255.37 : 536,013.92 = 257,528.17 : x
  2. Step 2: Convert to fraction form
    357,255.37/536,013.92 = 257,528.17/x
  3. Step 3: Cross multiply
    357,255.37x = 536,013.92 × 257,528.17
  4. Step 4: Simplify right side
    357,255.37x = 138,038,683,912.13
  5. Step 5: Solve for x
    x = 138,038,683,912.13/357,255.37
  6. Step 6: Final answer
    x = 386,386.59

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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.