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Finding the Fourth Proportional to 524,072.40, 784,294.20 and 313,861.20

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Solution

The fourth proportional to 524,072.40, 784,294.20 and 313,861.20 is: 469,705.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,072.40 : 784,294.20 = 313,861.20 : x
  2. Step 2: Convert to fraction form
    524,072.40/784,294.20 = 313,861.20/x
  3. Step 3: Cross multiply
    524,072.40x = 784,294.20 × 313,861.20
  4. Step 4: Simplify right side
    524,072.40x = 246,159,518,765.04
  5. Step 5: Solve for x
    x = 246,159,518,765.04/524,072.40
  6. Step 6: Final answer
    x = 469,705.18

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1.5x scale

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.