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Finding the Fourth Proportional to 307,113.52, 423,810.90 and 171,144.47

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Solution

The fourth proportional to 307,113.52, 423,810.90 and 171,144.47 is: 236,176.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,113.52 : 423,810.90 = 171,144.47 : x
  2. Step 2: Convert to fraction form
    307,113.52/423,810.90 = 171,144.47/x
  3. Step 3: Cross multiply
    307,113.52x = 423,810.90 × 171,144.47
  4. Step 4: Simplify right side
    307,113.52x = 72,532,892,920.25
  5. Step 5: Solve for x
    x = 72,532,892,920.25/307,113.52
  6. Step 6: Final answer
    x = 236,176.16

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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.