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Finding the Fourth Proportional to 310,719.93, 428,852.40 and 194,487.32

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Solution

The fourth proportional to 310,719.93, 428,852.40 and 194,487.32 is: 268,429.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,719.93 : 428,852.40 = 194,487.32 : x
  2. Step 2: Convert to fraction form
    310,719.93/428,852.40 = 194,487.32/x
  3. Step 3: Cross multiply
    310,719.93x = 428,852.40 × 194,487.32
  4. Step 4: Simplify right side
    310,719.93x = 83,406,353,951.57
  5. Step 5: Solve for x
    x = 83,406,353,951.57/310,719.93
  6. Step 6: Final answer
    x = 268,429.37

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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.