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Finding the Fourth Proportional to 290,307.70, 435,488.94 and 112,828.30

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Solution

The fourth proportional to 290,307.70, 435,488.94 and 112,828.30 is: 169,253.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,307.70 : 435,488.94 = 112,828.30 : x
  2. Step 2: Convert to fraction form
    290,307.70/435,488.94 = 112,828.30/x
  3. Step 3: Cross multiply
    290,307.70x = 435,488.94 × 112,828.30
  4. Step 4: Simplify right side
    290,307.70x = 49,135,476,769.00
  5. Step 5: Solve for x
    x = 49,135,476,769.00/290,307.70
  6. Step 6: Final answer
    x = 169,253.10

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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.