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Finding the Fourth Proportional to 566,429.42, 781,672.82 and 311,778.78

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Solution

The fourth proportional to 566,429.42, 781,672.82 and 311,778.78 is: 430,254.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,429.42 : 781,672.82 = 311,778.78 : x
  2. Step 2: Convert to fraction form
    566,429.42/781,672.82 = 311,778.78/x
  3. Step 3: Cross multiply
    566,429.42x = 781,672.82 × 311,778.78
  4. Step 4: Simplify right side
    566,429.42x = 243,708,996,619.87
  5. Step 5: Solve for x
    x = 243,708,996,619.87/566,429.42
  6. Step 6: Final answer
    x = 430,254.84

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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.