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Finding the Fourth Proportional to 405,197.02, 607,803.36 and 124,714

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Solution

The fourth proportional to 405,197.02, 607,803.36 and 124,714 is: 187,073.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,197.02 : 607,803.36 = 124,714 : x
  2. Step 2: Convert to fraction form
    405,197.02/607,803.36 = 124,714/x
  3. Step 3: Cross multiply
    405,197.02x = 607,803.36 × 124,714
  4. Step 4: Simplify right side
    405,197.02x = 75,801,588,239.04
  5. Step 5: Solve for x
    x = 75,801,588,239.04/405,197.02
  6. Step 6: Final answer
    x = 187,073.41

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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.