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Finding the Fourth Proportional to 509,161.69, 763,449.85 and 209,848.87

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Solution

The fourth proportional to 509,161.69, 763,449.85 and 209,848.87 is: 314,652.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,161.69 : 763,449.85 = 209,848.87 : x
  2. Step 2: Convert to fraction form
    509,161.69/763,449.85 = 209,848.87/x
  3. Step 3: Cross multiply
    509,161.69x = 763,449.85 × 209,848.87
  4. Step 4: Simplify right side
    509,161.69x = 160,209,088,324.17
  5. Step 5: Solve for x
    x = 160,209,088,324.17/509,161.69
  6. Step 6: Final answer
    x = 314,652.68

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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.