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Finding the Fourth Proportional to 261,368.40, 392,005.76 and 69,244.16

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Solution

The fourth proportional to 261,368.40, 392,005.76 and 69,244.16 is: 103,853.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,368.40 : 392,005.76 = 69,244.16 : x
  2. Step 2: Convert to fraction form
    261,368.40/392,005.76 = 69,244.16/x
  3. Step 3: Cross multiply
    261,368.40x = 392,005.76 × 69,244.16
  4. Step 4: Simplify right side
    261,368.40x = 27,144,109,566.36
  5. Step 5: Solve for x
    x = 27,144,109,566.36/261,368.40
  6. Step 6: Final answer
    x = 103,853.83

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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.