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Finding the Fourth Proportional to 313,286.00, 432,335.07 and 170,046

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Solution

The fourth proportional to 313,286.00, 432,335.07 and 170,046 is: 234,663.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,286.00 : 432,335.07 = 170,046 : x
  2. Step 2: Convert to fraction form
    313,286.00/432,335.07 = 170,046/x
  3. Step 3: Cross multiply
    313,286.00x = 432,335.07 × 170,046
  4. Step 4: Simplify right side
    313,286.00x = 73,516,849,313.22
  5. Step 5: Solve for x
    x = 73,516,849,313.22/313,286.00
  6. Step 6: Final answer
    x = 234,663.70

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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.