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Finding the Fourth Proportional to 378,564.60, 567,846.90 and 310,913.40

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Solution

The fourth proportional to 378,564.60, 567,846.90 and 310,913.40 is: 466,370.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,564.60 : 567,846.90 = 310,913.40 : x
  2. Step 2: Convert to fraction form
    378,564.60/567,846.90 = 310,913.40/x
  3. Step 3: Cross multiply
    378,564.60x = 567,846.90 × 310,913.40
  4. Step 4: Simplify right side
    378,564.60x = 176,551,210,358.46
  5. Step 5: Solve for x
    x = 176,551,210,358.46/378,564.60
  6. Step 6: Final answer
    x = 466,370.10

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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.