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Finding the Fourth Proportional to 814,484, 1,221,901.48 and 245,817.50

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Solution

The fourth proportional to 814,484, 1,221,901.48 and 245,817.50 is: 368,779.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,484 : 1,221,901.48 = 245,817.50 : x
  2. Step 2: Convert to fraction form
    814,484/1,221,901.48 = 245,817.50/x
  3. Step 3: Cross multiply
    814,484x = 1,221,901.48 × 245,817.50
  4. Step 4: Simplify right side
    814,484x = 300,364,767,059.90
  5. Step 5: Solve for x
    x = 300,364,767,059.90/814,484
  6. Step 6: Final answer
    x = 368,779.21

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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.