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Finding the Fourth Proportional to 566,431.32, 781,675.44 and 311,780.69

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Solution

The fourth proportional to 566,431.32, 781,675.44 and 311,780.69 is: 430,257.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,431.32 : 781,675.44 = 311,780.69 : x
  2. Step 2: Convert to fraction form
    566,431.32/781,675.44 = 311,780.69/x
  3. Step 3: Cross multiply
    566,431.32x = 781,675.44 × 311,780.69
  4. Step 4: Simplify right side
    566,431.32x = 243,711,308,039.25
  5. Step 5: Solve for x
    x = 243,711,308,039.25/566,431.32
  6. Step 6: Final answer
    x = 430,257.47

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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.