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Finding the Fourth Proportional to 470,232.96, 707,891.70 and 428,382

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Solution

The fourth proportional to 470,232.96, 707,891.70 and 428,382 is: 644,889.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,232.96 : 707,891.70 = 428,382 : x
  2. Step 2: Convert to fraction form
    470,232.96/707,891.70 = 428,382/x
  3. Step 3: Cross multiply
    470,232.96x = 707,891.70 × 428,382
  4. Step 4: Simplify right side
    470,232.96x = 303,248,062,229.40
  5. Step 5: Solve for x
    x = 303,248,062,229.40/470,232.96
  6. Step 6: Final answer
    x = 644,889.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.