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Finding the Fourth Proportional to 415,719.57, 573,650.02 and 306,881.74

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Solution

The fourth proportional to 415,719.57, 573,650.02 and 306,881.74 is: 423,465.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,719.57 : 573,650.02 = 306,881.74 : x
  2. Step 2: Convert to fraction form
    415,719.57/573,650.02 = 306,881.74/x
  3. Step 3: Cross multiply
    415,719.57x = 573,650.02 × 306,881.74
  4. Step 4: Simplify right side
    415,719.57x = 176,042,716,288.64
  5. Step 5: Solve for x
    x = 176,042,716,288.64/415,719.57
  6. Step 6: Final answer
    x = 423,465.07

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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.