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Finding the Fourth Proportional to 356,640, 534,836.16 and 103,851.84

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Solution

The fourth proportional to 356,640, 534,836.16 and 103,851.84 is: 155,741.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,640 : 534,836.16 = 103,851.84 : x
  2. Step 2: Convert to fraction form
    356,640/534,836.16 = 103,851.84/x
  3. Step 3: Cross multiply
    356,640x = 534,836.16 × 103,851.84
  4. Step 4: Simplify right side
    356,640x = 55,543,719,314.53
  5. Step 5: Solve for x
    x = 55,543,719,314.53/356,640
  6. Step 6: Final answer
    x = 155,741.70

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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.