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Finding the Fourth Proportional to 657,353.20, 983,956.20 and 470,729.20

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Solution

The fourth proportional to 657,353.20, 983,956.20 and 470,729.20 is: 704,608.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,353.20 : 983,956.20 = 470,729.20 : x
  2. Step 2: Convert to fraction form
    657,353.20/983,956.20 = 470,729.20/x
  3. Step 3: Cross multiply
    657,353.20x = 983,956.20 × 470,729.20
  4. Step 4: Simplify right side
    657,353.20x = 463,176,914,861.04
  5. Step 5: Solve for x
    x = 463,176,914,861.04/657,353.20
  6. Step 6: Final answer
    x = 704,608.90

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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.