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Finding the Fourth Proportional to 435,359.30, 652,054.80 and 258,212.30

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Solution

The fourth proportional to 435,359.30, 652,054.80 and 258,212.30 is: 386,734.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,359.30 : 652,054.80 = 258,212.30 : x
  2. Step 2: Convert to fraction form
    435,359.30/652,054.80 = 258,212.30/x
  3. Step 3: Cross multiply
    435,359.30x = 652,054.80 × 258,212.30
  4. Step 4: Simplify right side
    435,359.30x = 168,368,569,634.04
  5. Step 5: Solve for x
    x = 168,368,569,634.04/435,359.30
  6. Step 6: Final answer
    x = 386,734.75

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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.