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Finding the Fourth Proportional to 397,873.20, 596,809.80 and 391,312.20

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Solution

The fourth proportional to 397,873.20, 596,809.80 and 391,312.20 is: 586,968.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,873.20 : 596,809.80 = 391,312.20 : x
  2. Step 2: Convert to fraction form
    397,873.20/596,809.80 = 391,312.20/x
  3. Step 3: Cross multiply
    397,873.20x = 596,809.80 × 391,312.20
  4. Step 4: Simplify right side
    397,873.20x = 233,538,955,819.56
  5. Step 5: Solve for x
    x = 233,538,955,819.56/397,873.20
  6. Step 6: Final answer
    x = 586,968.30

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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.