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Finding the Fourth Proportional to 317,521.52, 438,201.60 and 209,904.92

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Solution

The fourth proportional to 317,521.52, 438,201.60 and 209,904.92 is: 289,683.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,521.52 : 438,201.60 = 209,904.92 : x
  2. Step 2: Convert to fraction form
    317,521.52/438,201.60 = 209,904.92/x
  3. Step 3: Cross multiply
    317,521.52x = 438,201.60 × 209,904.92
  4. Step 4: Simplify right side
    317,521.52x = 91,980,671,791.87
  5. Step 5: Solve for x
    x = 91,980,671,791.87/317,521.52
  6. Step 6: Final answer
    x = 289,683.27

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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.