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Finding the Fourth Proportional to 523,712.40, 783,754.20 and 313,501.20

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Solution

The fourth proportional to 523,712.40, 783,754.20 and 313,501.20 is: 469,165.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,712.40 : 783,754.20 = 313,501.20 : x
  2. Step 2: Convert to fraction form
    523,712.40/783,754.20 = 313,501.20/x
  3. Step 3: Cross multiply
    523,712.40x = 783,754.20 × 313,501.20
  4. Step 4: Simplify right side
    523,712.40x = 245,707,882,205.04
  5. Step 5: Solve for x
    x = 245,707,882,205.04/523,712.40
  6. Step 6: Final answer
    x = 469,165.68

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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.