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Finding the Fourth Proportional to 306,746.20, 423,200.20 and 177,614.20

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Solution

The fourth proportional to 306,746.20, 423,200.20 and 177,614.20 is: 245,044.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,746.20 : 423,200.20 = 177,614.20 : x
  2. Step 2: Convert to fraction form
    306,746.20/423,200.20 = 177,614.20/x
  3. Step 3: Cross multiply
    306,746.20x = 423,200.20 × 177,614.20
  4. Step 4: Simplify right side
    306,746.20x = 75,166,364,962.84
  5. Step 5: Solve for x
    x = 75,166,364,962.84/306,746.20
  6. Step 6: Final answer
    x = 245,044.16

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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.