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Finding the Fourth Proportional to 529,380, 730,544.40 and 290,916

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Solution

The fourth proportional to 529,380, 730,544.40 and 290,916 is: 401,464.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,380 : 730,544.40 = 290,916 : x
  2. Step 2: Convert to fraction form
    529,380/730,544.40 = 290,916/x
  3. Step 3: Cross multiply
    529,380x = 730,544.40 × 290,916
  4. Step 4: Simplify right side
    529,380x = 212,527,054,670.40
  5. Step 5: Solve for x
    x = 212,527,054,670.40/529,380
  6. Step 6: Final answer
    x = 401,464.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.