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Finding the Fourth Proportional to 261,430.20, 360,744.06 and 146,693.84

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Solution

The fourth proportional to 261,430.20, 360,744.06 and 146,693.84 is: 202,420.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,430.20 : 360,744.06 = 146,693.84 : x
  2. Step 2: Convert to fraction form
    261,430.20/360,744.06 = 146,693.84/x
  3. Step 3: Cross multiply
    261,430.20x = 360,744.06 × 146,693.84
  4. Step 4: Simplify right side
    261,430.20x = 52,918,931,418.59
  5. Step 5: Solve for x
    x = 52,918,931,418.59/261,430.20
  6. Step 6: Final answer
    x = 202,420.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.