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Finding the Fourth Proportional to 378,278.64, 567,437.40 and 97,798.32

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Solution

The fourth proportional to 378,278.64, 567,437.40 and 97,798.32 is: 146,702.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,278.64 : 567,437.40 = 97,798.32 : x
  2. Step 2: Convert to fraction form
    378,278.64/567,437.40 = 97,798.32/x
  3. Step 3: Cross multiply
    378,278.64x = 567,437.40 × 97,798.32
  4. Step 4: Simplify right side
    378,278.64x = 55,494,424,425.17
  5. Step 5: Solve for x
    x = 55,494,424,425.17/378,278.64
  6. Step 6: Final answer
    x = 146,702.51

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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.