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Finding the Fourth Proportional to 520,083.20, 730,216 and 520,083.20

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Solution

The fourth proportional to 520,083.20, 730,216 and 520,083.20 is: 730,216

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,083.20 : 730,216 = 520,083.20 : x
  2. Step 2: Convert to fraction form
    520,083.20/730,216 = 520,083.20/x
  3. Step 3: Cross multiply
    520,083.20x = 730,216 × 520,083.20
  4. Step 4: Simplify right side
    520,083.20x = 379,773,073,971.20
  5. Step 5: Solve for x
    x = 379,773,073,971.20/520,083.20
  6. Step 6: Final answer
    x = 730,216

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.