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Finding the Fourth Proportional to 540,071.68, 745,304.16 and 298,360

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Solution

The fourth proportional to 540,071.68, 745,304.16 and 298,360 is: 411,739.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,071.68 : 745,304.16 = 298,360 : x
  2. Step 2: Convert to fraction form
    540,071.68/745,304.16 = 298,360/x
  3. Step 3: Cross multiply
    540,071.68x = 745,304.16 × 298,360
  4. Step 4: Simplify right side
    540,071.68x = 222,368,949,177.60
  5. Step 5: Solve for x
    x = 222,368,949,177.60/540,071.68
  6. Step 6: Final answer
    x = 411,739.70

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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.