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Finding the Fourth Proportional to 310,332, 428,258.16 and 169,020

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Solution

The fourth proportional to 310,332, 428,258.16 and 169,020 is: 233,247.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,332 : 428,258.16 = 169,020 : x
  2. Step 2: Convert to fraction form
    310,332/428,258.16 = 169,020/x
  3. Step 3: Cross multiply
    310,332x = 428,258.16 × 169,020
  4. Step 4: Simplify right side
    310,332x = 72,384,194,203.20
  5. Step 5: Solve for x
    x = 72,384,194,203.20/310,332
  6. Step 6: Final answer
    x = 233,247.60

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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.