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Finding the Fourth Proportional to 310,332.34, 428,258.91 and 176,196.34

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Solution

The fourth proportional to 310,332.34, 428,258.91 and 176,196.34 is: 243,151.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,332.34 : 428,258.91 = 176,196.34 : x
  2. Step 2: Convert to fraction form
    310,332.34/428,258.91 = 176,196.34/x
  3. Step 3: Cross multiply
    310,332.34x = 428,258.91 × 176,196.34
  4. Step 4: Simplify right side
    310,332.34x = 75,457,652,514.39
  5. Step 5: Solve for x
    x = 75,457,652,514.39/310,332.34
  6. Step 6: Final answer
    x = 243,151.11

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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.