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Finding the Fourth Proportional to 220,802.56, 304,708.80 and 120,200.32

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Solution

The fourth proportional to 220,802.56, 304,708.80 and 120,200.32 is: 165,877.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,802.56 : 304,708.80 = 120,200.32 : x
  2. Step 2: Convert to fraction form
    220,802.56/304,708.80 = 120,200.32/x
  3. Step 3: Cross multiply
    220,802.56x = 304,708.80 × 120,200.32
  4. Step 4: Simplify right side
    220,802.56x = 36,626,095,266.82
  5. Step 5: Solve for x
    x = 36,626,095,266.82/220,802.56
  6. Step 6: Final answer
    x = 165,877.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.