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Finding the Fourth Proportional to 509,164.80, 763,747.20 and 135,225.60

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Solution

The fourth proportional to 509,164.80, 763,747.20 and 135,225.60 is: 202,838.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,164.80 : 763,747.20 = 135,225.60 : x
  2. Step 2: Convert to fraction form
    509,164.80/763,747.20 = 135,225.60/x
  3. Step 3: Cross multiply
    509,164.80x = 763,747.20 × 135,225.60
  4. Step 4: Simplify right side
    509,164.80x = 103,278,173,368.32
  5. Step 5: Solve for x
    x = 103,278,173,368.32/509,164.80
  6. Step 6: Final answer
    x = 202,838.40

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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.