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Finding the Fourth Proportional to 261,618, 392,430.70 and 74,629.50

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Solution

The fourth proportional to 261,618, 392,430.70 and 74,629.50 is: 111,945.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,618 : 392,430.70 = 74,629.50 : x
  2. Step 2: Convert to fraction form
    261,618/392,430.70 = 74,629.50/x
  3. Step 3: Cross multiply
    261,618x = 392,430.70 × 74,629.50
  4. Step 4: Simplify right side
    261,618x = 29,286,906,925.65
  5. Step 5: Solve for x
    x = 29,286,906,925.65/261,618
  6. Step 6: Final answer
    x = 111,945.31

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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.