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Finding the Fourth Proportional to 370,608.48, 511,431.84 and 209,442.24

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Solution

The fourth proportional to 370,608.48, 511,431.84 and 209,442.24 is: 289,025.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,608.48 : 511,431.84 = 209,442.24 : x
  2. Step 2: Convert to fraction form
    370,608.48/511,431.84 = 209,442.24/x
  3. Step 3: Cross multiply
    370,608.48x = 511,431.84 × 209,442.24
  4. Step 4: Simplify right side
    370,608.48x = 107,115,430,176.92
  5. Step 5: Solve for x
    x = 107,115,430,176.92/370,608.48
  6. Step 6: Final answer
    x = 289,025.85

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1.5x scale

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.