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Finding the Fourth Proportional to 482,203.40, 665,430.44 and 278,238.32

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Solution

The fourth proportional to 482,203.40, 665,430.44 and 278,238.32 is: 383,962.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,203.40 : 665,430.44 = 278,238.32 : x
  2. Step 2: Convert to fraction form
    482,203.40/665,430.44 = 278,238.32/x
  3. Step 3: Cross multiply
    482,203.40x = 665,430.44 × 278,238.32
  4. Step 4: Simplify right side
    482,203.40x = 185,148,247,702.46
  5. Step 5: Solve for x
    x = 185,148,247,702.46/482,203.40
  6. Step 6: Final answer
    x = 383,962.97

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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.