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Finding the Fourth Proportional to 702,932.76, 970,045.50 and 380,642.88

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Solution

The fourth proportional to 702,932.76, 970,045.50 and 380,642.88 is: 525,286.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,932.76 : 970,045.50 = 380,642.88 : x
  2. Step 2: Convert to fraction form
    702,932.76/970,045.50 = 380,642.88/x
  3. Step 3: Cross multiply
    702,932.76x = 970,045.50 × 380,642.88
  4. Step 4: Simplify right side
    702,932.76x = 369,240,912,851.04
  5. Step 5: Solve for x
    x = 369,240,912,851.04/702,932.76
  6. Step 6: Final answer
    x = 525,286.25

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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.