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Finding the Fourth Proportional to 482,298.46, 665,523.90 and 278,415.07

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Solution

The fourth proportional to 482,298.46, 665,523.90 and 278,415.07 is: 384,185.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,298.46 : 665,523.90 = 278,415.07 : x
  2. Step 2: Convert to fraction form
    482,298.46/665,523.90 = 278,415.07/x
  3. Step 3: Cross multiply
    482,298.46x = 665,523.90 × 278,415.07
  4. Step 4: Simplify right side
    482,298.46x = 185,291,881,541.36
  5. Step 5: Solve for x
    x = 185,291,881,541.36/482,298.46
  6. Step 6: Final answer
    x = 384,185.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.