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Finding the Fourth Proportional to 290,817.96, 435,913.20 and 140,741.16

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Solution

The fourth proportional to 290,817.96, 435,913.20 and 140,741.16 is: 210,959.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,817.96 : 435,913.20 = 140,741.16 : x
  2. Step 2: Convert to fraction form
    290,817.96/435,913.20 = 140,741.16/x
  3. Step 3: Cross multiply
    290,817.96x = 435,913.20 × 140,741.16
  4. Step 4: Simplify right side
    290,817.96x = 61,350,929,427.31
  5. Step 5: Solve for x
    x = 61,350,929,427.31/290,817.96
  6. Step 6: Final answer
    x = 210,959.91

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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.