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Finding the Fourth Proportional to 524,705, 787,190.34 and 150,728

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Solution

The fourth proportional to 524,705, 787,190.34 and 150,728 is: 226,130.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,705 : 787,190.34 = 150,728 : x
  2. Step 2: Convert to fraction form
    524,705/787,190.34 = 150,728/x
  3. Step 3: Cross multiply
    524,705x = 787,190.34 × 150,728
  4. Step 4: Simplify right side
    524,705x = 118,651,625,567.52
  5. Step 5: Solve for x
    x = 118,651,625,567.52/524,705
  6. Step 6: Final answer
    x = 226,130.16

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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.