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Finding the Fourth Proportional to 519,109.80, 778,232.70 and 219,820.20

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Solution

The fourth proportional to 519,109.80, 778,232.70 and 219,820.20 is: 329,547.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,109.80 : 778,232.70 = 219,820.20 : x
  2. Step 2: Convert to fraction form
    519,109.80/778,232.70 = 219,820.20/x
  3. Step 3: Cross multiply
    519,109.80x = 778,232.70 × 219,820.20
  4. Step 4: Simplify right side
    519,109.80x = 171,071,267,760.54
  5. Step 5: Solve for x
    x = 171,071,267,760.54/519,109.80
  6. Step 6: Final answer
    x = 329,547.37

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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.