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Finding the Fourth Proportional to 553,221.28, 830,102.88 and 198,262.72

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Solution

The fourth proportional to 553,221.28, 830,102.88 and 198,262.72 is: 297,491.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,221.28 : 830,102.88 = 198,262.72 : x
  2. Step 2: Convert to fraction form
    553,221.28/830,102.88 = 198,262.72/x
  3. Step 3: Cross multiply
    553,221.28x = 830,102.88 × 198,262.72
  4. Step 4: Simplify right side
    553,221.28x = 164,578,454,868.63
  5. Step 5: Solve for x
    x = 164,578,454,868.63/553,221.28
  6. Step 6: Final answer
    x = 297,491.19

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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.