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Finding the Fourth Proportional to 378,401.60, 567,602.40 and 310,750.40

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Solution

The fourth proportional to 378,401.60, 567,602.40 and 310,750.40 is: 466,125.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,401.60 : 567,602.40 = 310,750.40 : x
  2. Step 2: Convert to fraction form
    378,401.60/567,602.40 = 310,750.40/x
  3. Step 3: Cross multiply
    378,401.60x = 567,602.40 × 310,750.40
  4. Step 4: Simplify right side
    378,401.60x = 176,382,672,840.96
  5. Step 5: Solve for x
    x = 176,382,672,840.96/378,401.60
  6. Step 6: Final answer
    x = 466,125.60

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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.