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Finding the Fourth Proportional to 501,582, 752,416.80 and 127,605

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Solution

The fourth proportional to 501,582, 752,416.80 and 127,605 is: 191,418.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,582 : 752,416.80 = 127,605 : x
  2. Step 2: Convert to fraction form
    501,582/752,416.80 = 127,605/x
  3. Step 3: Cross multiply
    501,582x = 752,416.80 × 127,605
  4. Step 4: Simplify right side
    501,582x = 96,012,145,764
  5. Step 5: Solve for x
    x = 96,012,145,764/501,582
  6. Step 6: Final answer
    x = 191,418.64

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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.