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Finding the Fourth Proportional to 407,417.92, 562,242.72 and 226,141.52

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Solution

The fourth proportional to 407,417.92, 562,242.72 and 226,141.52 is: 312,078.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,417.92 : 562,242.72 = 226,141.52 : x
  2. Step 2: Convert to fraction form
    407,417.92/562,242.72 = 226,141.52/x
  3. Step 3: Cross multiply
    407,417.92x = 562,242.72 × 226,141.52
  4. Step 4: Simplify right side
    407,417.92x = 127,146,423,309.73
  5. Step 5: Solve for x
    x = 127,146,423,309.73/407,417.92
  6. Step 6: Final answer
    x = 312,078.62

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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.