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Finding the Fourth Proportional to 674,682.40, 931,491.12 and 420,407.20

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Solution

The fourth proportional to 674,682.40, 931,491.12 and 420,407.20 is: 580,429.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,682.40 : 931,491.12 = 420,407.20 : x
  2. Step 2: Convert to fraction form
    674,682.40/931,491.12 = 420,407.20/x
  3. Step 3: Cross multiply
    674,682.40x = 931,491.12 × 420,407.20
  4. Step 4: Simplify right side
    674,682.40x = 391,605,573,584.06
  5. Step 5: Solve for x
    x = 391,605,573,584.06/674,682.40
  6. Step 6: Final answer
    x = 580,429.51

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1.5x scale

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.