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Finding the Fourth Proportional to 317,655.83, 438,365.69 and 172,461.77

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Solution

The fourth proportional to 317,655.83, 438,365.69 and 172,461.77 is: 237,997.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,655.83 : 438,365.69 = 172,461.77 : x
  2. Step 2: Convert to fraction form
    317,655.83/438,365.69 = 172,461.77/x
  3. Step 3: Cross multiply
    317,655.83x = 438,365.69 × 172,461.77
  4. Step 4: Simplify right side
    317,655.83x = 75,601,324,506.94
  5. Step 5: Solve for x
    x = 75,601,324,506.94/317,655.83
  6. Step 6: Final answer
    x = 237,997.60

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1.5x scale

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.