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Finding the Fourth Proportional to 306,493.29, 423,158.31 and 197,646.30

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Solution

The fourth proportional to 306,493.29, 423,158.31 and 197,646.30 is: 272,879.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,493.29 : 423,158.31 = 197,646.30 : x
  2. Step 2: Convert to fraction form
    306,493.29/423,158.31 = 197,646.30/x
  3. Step 3: Cross multiply
    306,493.29x = 423,158.31 × 197,646.30
  4. Step 4: Simplify right side
    306,493.29x = 83,635,674,285.75
  5. Step 5: Solve for x
    x = 83,635,674,285.75/306,493.29
  6. Step 6: Final answer
    x = 272,879.30

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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.