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Finding the Fourth Proportional to 565,283.29, 780,134.34 and 323,641.66

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Solution

The fourth proportional to 565,283.29, 780,134.34 and 323,641.66 is: 446,650.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,283.29 : 780,134.34 = 323,641.66 : x
  2. Step 2: Convert to fraction form
    565,283.29/780,134.34 = 323,641.66/x
  3. Step 3: Cross multiply
    565,283.29x = 780,134.34 × 323,641.66
  4. Step 4: Simplify right side
    565,283.29x = 252,483,972,820.60
  5. Step 5: Solve for x
    x = 252,483,972,820.60/565,283.29
  6. Step 6: Final answer
    x = 446,650.34

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.