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Finding the Fourth Proportional to 315,509.52, 435,409.20 and 172,275.24

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Solution

The fourth proportional to 315,509.52, 435,409.20 and 172,275.24 is: 237,743.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,509.52 : 435,409.20 = 172,275.24 : x
  2. Step 2: Convert to fraction form
    315,509.52/435,409.20 = 172,275.24/x
  3. Step 3: Cross multiply
    315,509.52x = 435,409.20 × 172,275.24
  4. Step 4: Simplify right side
    315,509.52x = 75,010,224,428.21
  5. Step 5: Solve for x
    x = 75,010,224,428.21/315,509.52
  6. Step 6: Final answer
    x = 237,743.14

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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.