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Finding the Fourth Proportional to 200,742.90, 301,114.35 and 153,503.70

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Solution

The fourth proportional to 200,742.90, 301,114.35 and 153,503.70 is: 230,255.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,742.90 : 301,114.35 = 153,503.70 : x
  2. Step 2: Convert to fraction form
    200,742.90/301,114.35 = 153,503.70/x
  3. Step 3: Cross multiply
    200,742.90x = 301,114.35 × 153,503.70
  4. Step 4: Simplify right side
    200,742.90x = 46,222,166,848.10
  5. Step 5: Solve for x
    x = 46,222,166,848.10/200,742.90
  6. Step 6: Final answer
    x = 230,255.55

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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.