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Finding the Fourth Proportional to 261,812.39, 392,710.74 and 72,284.32

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Solution

The fourth proportional to 261,812.39, 392,710.74 and 72,284.32 is: 108,424.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,812.39 : 392,710.74 = 72,284.32 : x
  2. Step 2: Convert to fraction form
    261,812.39/392,710.74 = 72,284.32/x
  3. Step 3: Cross multiply
    261,812.39x = 392,710.74 × 72,284.32
  4. Step 4: Simplify right side
    261,812.39x = 28,386,828,797.60
  5. Step 5: Solve for x
    x = 28,386,828,797.60/261,812.39
  6. Step 6: Final answer
    x = 108,424.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.