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Finding the Fourth Proportional to 419,032.50, 578,253.76 and 228,041.80

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Solution

The fourth proportional to 419,032.50, 578,253.76 and 228,041.80 is: 314,691.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,032.50 : 578,253.76 = 228,041.80 : x
  2. Step 2: Convert to fraction form
    419,032.50/578,253.76 = 228,041.80/x
  3. Step 3: Cross multiply
    419,032.50x = 578,253.76 × 228,041.80
  4. Step 4: Simplify right side
    419,032.50x = 131,866,028,287.17
  5. Step 5: Solve for x
    x = 131,866,028,287.17/419,032.50
  6. Step 6: Final answer
    x = 314,691.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.