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Finding the Fourth Proportional to 559,683.42, 839,525.07 and 138,959.28

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Solution

The fourth proportional to 559,683.42, 839,525.07 and 138,959.28 is: 208,438.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,683.42 : 839,525.07 = 138,959.28 : x
  2. Step 2: Convert to fraction form
    559,683.42/839,525.07 = 138,959.28/x
  3. Step 3: Cross multiply
    559,683.42x = 839,525.07 × 138,959.28
  4. Step 4: Simplify right side
    559,683.42x = 116,659,799,269.15
  5. Step 5: Solve for x
    x = 116,659,799,269.15/559,683.42
  6. Step 6: Final answer
    x = 208,438.91

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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.