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Finding the Fourth Proportional to 652,085.80, 978,128.70 and 202,835.06

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Solution

The fourth proportional to 652,085.80, 978,128.70 and 202,835.06 is: 304,252.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,085.80 : 978,128.70 = 202,835.06 : x
  2. Step 2: Convert to fraction form
    652,085.80/978,128.70 = 202,835.06/x
  3. Step 3: Cross multiply
    652,085.80x = 978,128.70 × 202,835.06
  4. Step 4: Simplify right side
    652,085.80x = 198,398,793,552.22
  5. Step 5: Solve for x
    x = 198,398,793,552.22/652,085.80
  6. Step 6: Final answer
    x = 304,252.59

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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.