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Finding the Fourth Proportional to 317,421.81, 438,041.47 and 172,227.54

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Solution

The fourth proportional to 317,421.81, 438,041.47 and 172,227.54 is: 237,673.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,421.81 : 438,041.47 = 172,227.54 : x
  2. Step 2: Convert to fraction form
    317,421.81/438,041.47 = 172,227.54/x
  3. Step 3: Cross multiply
    317,421.81x = 438,041.47 × 172,227.54
  4. Step 4: Simplify right side
    317,421.81x = 75,442,804,796.08
  5. Step 5: Solve for x
    x = 75,442,804,796.08/317,421.81
  6. Step 6: Final answer
    x = 237,673.66

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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.