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Finding the Fourth Proportional to 243,049.70, 364,574.55 and 209,807.30

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Solution

The fourth proportional to 243,049.70, 364,574.55 and 209,807.30 is: 314,710.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,049.70 : 364,574.55 = 209,807.30 : x
  2. Step 2: Convert to fraction form
    243,049.70/364,574.55 = 209,807.30/x
  3. Step 3: Cross multiply
    243,049.70x = 364,574.55 × 209,807.30
  4. Step 4: Simplify right side
    243,049.70x = 76,490,401,984.22
  5. Step 5: Solve for x
    x = 76,490,401,984.22/243,049.70
  6. Step 6: Final answer
    x = 314,710.95

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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.