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Finding the Fourth Proportional to 509,713.90, 765,154.05 and 299,470.30

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Solution

The fourth proportional to 509,713.90, 765,154.05 and 299,470.30 is: 449,548.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,713.90 : 765,154.05 = 299,470.30 : x
  2. Step 2: Convert to fraction form
    509,713.90/765,154.05 = 299,470.30/x
  3. Step 3: Cross multiply
    509,713.90x = 765,154.05 × 299,470.30
  4. Step 4: Simplify right side
    509,713.90x = 229,140,912,899.72
  5. Step 5: Solve for x
    x = 229,140,912,899.72/509,713.90
  6. Step 6: Final answer
    x = 449,548.10

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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.