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Finding the Fourth Proportional to 209,737.80, 314,606.70 and 151,126.20

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Solution

The fourth proportional to 209,737.80, 314,606.70 and 151,126.20 is: 226,689.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,737.80 : 314,606.70 = 151,126.20 : x
  2. Step 2: Convert to fraction form
    209,737.80/314,606.70 = 151,126.20/x
  3. Step 3: Cross multiply
    209,737.80x = 314,606.70 × 151,126.20
  4. Step 4: Simplify right side
    209,737.80x = 47,545,315,065.54
  5. Step 5: Solve for x
    x = 47,545,315,065.54/209,737.80
  6. Step 6: Final answer
    x = 226,689.30

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1.5x scale

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.