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Finding the Fourth Proportional to 426,809.76, 640,243.84 and 127,267.32

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Solution

The fourth proportional to 426,809.76, 640,243.84 and 127,267.32 is: 190,909.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,809.76 : 640,243.84 = 127,267.32 : x
  2. Step 2: Convert to fraction form
    426,809.76/640,243.84 = 127,267.32/x
  3. Step 3: Cross multiply
    426,809.76x = 640,243.84 × 127,267.32
  4. Step 4: Simplify right side
    426,809.76x = 81,482,117,663.31
  5. Step 5: Solve for x
    x = 81,482,117,663.31/426,809.76
  6. Step 6: Final answer
    x = 190,909.69

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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.