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Finding the Fourth Proportional to 149,314.80, 209,317.20 and 149,314.80

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Solution

The fourth proportional to 149,314.80, 209,317.20 and 149,314.80 is: 209,317.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,314.80 : 209,317.20 = 149,314.80 : x
  2. Step 2: Convert to fraction form
    149,314.80/209,317.20 = 149,314.80/x
  3. Step 3: Cross multiply
    149,314.80x = 209,317.20 × 149,314.80
  4. Step 4: Simplify right side
    149,314.80x = 31,254,155,854.56
  5. Step 5: Solve for x
    x = 31,254,155,854.56/149,314.80
  6. Step 6: Final answer
    x = 209,317.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.