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Finding the Fourth Proportional to 310,047.60, 428,040 and 202,726.08

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Solution

The fourth proportional to 310,047.60, 428,040 and 202,726.08 is: 279,875.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,047.60 : 428,040 = 202,726.08 : x
  2. Step 2: Convert to fraction form
    310,047.60/428,040 = 202,726.08/x
  3. Step 3: Cross multiply
    310,047.60x = 428,040 × 202,726.08
  4. Step 4: Simplify right side
    310,047.60x = 86,774,871,283.20
  5. Step 5: Solve for x
    x = 86,774,871,283.20/310,047.60
  6. Step 6: Final answer
    x = 279,875.97

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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.