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Finding the Fourth Proportional to 306,545.16, 423,028.26 and 172,409.16

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Solution

The fourth proportional to 306,545.16, 423,028.26 and 172,409.16 is: 237,922.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,545.16 : 423,028.26 = 172,409.16 : x
  2. Step 2: Convert to fraction form
    306,545.16/423,028.26 = 172,409.16/x
  3. Step 3: Cross multiply
    306,545.16x = 423,028.26 × 172,409.16
  4. Step 4: Simplify right side
    306,545.16x = 72,933,946,962.86
  5. Step 5: Solve for x
    x = 72,933,946,962.86/306,545.16
  6. Step 6: Final answer
    x = 237,922.36

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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.