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Finding the Fourth Proportional to 498,693.90, 748,510.65 and 262,206.30

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Solution

The fourth proportional to 498,693.90, 748,510.65 and 262,206.30 is: 393,556.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,693.90 : 748,510.65 = 262,206.30 : x
  2. Step 2: Convert to fraction form
    498,693.90/748,510.65 = 262,206.30/x
  3. Step 3: Cross multiply
    498,693.90x = 748,510.65 × 262,206.30
  4. Step 4: Simplify right side
    498,693.90x = 196,264,208,047.10
  5. Step 5: Solve for x
    x = 196,264,208,047.10/498,693.90
  6. Step 6: Final answer
    x = 393,556.46

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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.