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Finding the Fourth Proportional to 278,666.64, 417,868.28 and 107,968.32

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Solution

The fourth proportional to 278,666.64, 417,868.28 and 107,968.32 is: 161,901.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,666.64 : 417,868.28 = 107,968.32 : x
  2. Step 2: Convert to fraction form
    278,666.64/417,868.28 = 107,968.32/x
  3. Step 3: Cross multiply
    278,666.64x = 417,868.28 × 107,968.32
  4. Step 4: Simplify right side
    278,666.64x = 45,116,536,442.81
  5. Step 5: Solve for x
    x = 45,116,536,442.81/278,666.64
  6. Step 6: Final answer
    x = 161,901.46

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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.