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Finding the Fourth Proportional to 314,980.90, 472,532.10 and 135,063.70

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Solution

The fourth proportional to 314,980.90, 472,532.10 and 135,063.70 is: 202,621.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,980.90 : 472,532.10 = 135,063.70 : x
  2. Step 2: Convert to fraction form
    314,980.90/472,532.10 = 135,063.70/x
  3. Step 3: Cross multiply
    314,980.90x = 472,532.10 × 135,063.70
  4. Step 4: Simplify right side
    314,980.90x = 63,821,933,794.77
  5. Step 5: Solve for x
    x = 63,821,933,794.77/314,980.90
  6. Step 6: Final answer
    x = 202,621.60

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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.