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Finding the Fourth Proportional to 282,394, 423,643.20 and 92,864.80

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Solution

The fourth proportional to 282,394, 423,643.20 and 92,864.80 is: 139,314.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,394 : 423,643.20 = 92,864.80 : x
  2. Step 2: Convert to fraction form
    282,394/423,643.20 = 92,864.80/x
  3. Step 3: Cross multiply
    282,394x = 423,643.20 × 92,864.80
  4. Step 4: Simplify right side
    282,394x = 39,341,541,039.36
  5. Step 5: Solve for x
    x = 39,341,541,039.36/282,394
  6. Step 6: Final answer
    x = 139,314.37

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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.