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Finding the Fourth Proportional to 338,025.78, 506,309.70 and 318,152.08

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Solution

The fourth proportional to 338,025.78, 506,309.70 and 318,152.08 is: 476,542.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,025.78 : 506,309.70 = 318,152.08 : x
  2. Step 2: Convert to fraction form
    338,025.78/506,309.70 = 318,152.08/x
  3. Step 3: Cross multiply
    338,025.78x = 506,309.70 × 318,152.08
  4. Step 4: Simplify right side
    338,025.78x = 161,083,484,179.18
  5. Step 5: Solve for x
    x = 161,083,484,179.18/338,025.78
  6. Step 6: Final answer
    x = 476,542.01

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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.