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Finding the Fourth Proportional to 578,448.16, 866,542.29 and 398,501.80

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Solution

The fourth proportional to 578,448.16, 866,542.29 and 398,501.80 is: 596,974.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,448.16 : 866,542.29 = 398,501.80 : x
  2. Step 2: Convert to fraction form
    578,448.16/866,542.29 = 398,501.80/x
  3. Step 3: Cross multiply
    578,448.16x = 866,542.29 × 398,501.80
  4. Step 4: Simplify right side
    578,448.16x = 345,318,666,917.04
  5. Step 5: Solve for x
    x = 345,318,666,917.04/578,448.16
  6. Step 6: Final answer
    x = 596,974.26

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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.