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Finding the Fourth Proportional to 428,115.52, 590,640.80 and 277,295.68

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Solution

The fourth proportional to 428,115.52, 590,640.80 and 277,295.68 is: 382,565.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,115.52 : 590,640.80 = 277,295.68 : x
  2. Step 2: Convert to fraction form
    428,115.52/590,640.80 = 277,295.68/x
  3. Step 3: Cross multiply
    428,115.52x = 590,640.80 × 277,295.68
  4. Step 4: Simplify right side
    428,115.52x = 163,782,142,271.74
  5. Step 5: Solve for x
    x = 163,782,142,271.74/428,115.52
  6. Step 6: Final answer
    x = 382,565.30

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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.