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Finding the Fourth Proportional to 826,700, 1,240,061.52 and 235,724

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Solution

The fourth proportional to 826,700, 1,240,061.52 and 235,724 is: 353,589.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,700 : 1,240,061.52 = 235,724 : x
  2. Step 2: Convert to fraction form
    826,700/1,240,061.52 = 235,724/x
  3. Step 3: Cross multiply
    826,700x = 1,240,061.52 × 235,724
  4. Step 4: Simplify right side
    826,700x = 292,312,261,740.48
  5. Step 5: Solve for x
    x = 292,312,261,740.48/826,700
  6. Step 6: Final answer
    x = 353,589.28

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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.