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Finding the Fourth Proportional to 376,803.40, 564,330.30 and 257,830.60

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Solution

The fourth proportional to 376,803.40, 564,330.30 and 257,830.60 is: 386,147.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,803.40 : 564,330.30 = 257,830.60 : x
  2. Step 2: Convert to fraction form
    376,803.40/564,330.30 = 257,830.60/x
  3. Step 3: Cross multiply
    376,803.40x = 564,330.30 × 257,830.60
  4. Step 4: Simplify right side
    376,803.40x = 145,501,619,847.18
  5. Step 5: Solve for x
    x = 145,501,619,847.18/376,803.40
  6. Step 6: Final answer
    x = 386,147.31

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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.