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Finding the Fourth Proportional to 524,600.40, 785,086.20 and 314,389.20

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Solution

The fourth proportional to 524,600.40, 785,086.20 and 314,389.20 is: 470,496.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,600.40 : 785,086.20 = 314,389.20 : x
  2. Step 2: Convert to fraction form
    524,600.40/785,086.20 = 314,389.20/x
  3. Step 3: Cross multiply
    524,600.40x = 785,086.20 × 314,389.20
  4. Step 4: Simplify right side
    524,600.40x = 246,822,622,349.04
  5. Step 5: Solve for x
    x = 246,822,622,349.04/524,600.40
  6. Step 6: Final answer
    x = 470,496.44

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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.