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Finding the Fourth Proportional to 520,024, 778,782.12 and 253,122.52

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Solution

The fourth proportional to 520,024, 778,782.12 and 253,122.52 is: 379,073.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,024 : 778,782.12 = 253,122.52 : x
  2. Step 2: Convert to fraction form
    520,024/778,782.12 = 253,122.52/x
  3. Step 3: Cross multiply
    520,024x = 778,782.12 × 253,122.52
  4. Step 4: Simplify right side
    520,024x = 197,127,292,745.34
  5. Step 5: Solve for x
    x = 197,127,292,745.34/520,024
  6. Step 6: Final answer
    x = 379,073.45

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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.