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Finding the Fourth Proportional to 802,909.16, 1,204,112.64 and 290,509.64

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Solution

The fourth proportional to 802,909.16, 1,204,112.64 and 290,509.64 is: 435,673.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,909.16 : 1,204,112.64 = 290,509.64 : x
  2. Step 2: Convert to fraction form
    802,909.16/1,204,112.64 = 290,509.64/x
  3. Step 3: Cross multiply
    802,909.16x = 1,204,112.64 × 290,509.64
  4. Step 4: Simplify right side
    802,909.16x = 349,806,329,565.85
  5. Step 5: Solve for x
    x = 349,806,329,565.85/802,909.16
  6. Step 6: Final answer
    x = 435,673.61

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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.