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Finding the Fourth Proportional to 372,584, 514,165.98 and 202,819.40

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Solution

The fourth proportional to 372,584, 514,165.98 and 202,819.40 is: 279,890.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,584 : 514,165.98 = 202,819.40 : x
  2. Step 2: Convert to fraction form
    372,584/514,165.98 = 202,819.40/x
  3. Step 3: Cross multiply
    372,584x = 514,165.98 × 202,819.40
  4. Step 4: Simplify right side
    372,584x = 104,282,835,564.01
  5. Step 5: Solve for x
    x = 104,282,835,564.01/372,584
  6. Step 6: Final answer
    x = 279,890.80

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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.