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Finding the Fourth Proportional to 370,730.67, 511,625.40 and 209,592.51

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Solution

The fourth proportional to 370,730.67, 511,625.40 and 209,592.51 is: 289,247.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,730.67 : 511,625.40 = 209,592.51 : x
  2. Step 2: Convert to fraction form
    370,730.67/511,625.40 = 209,592.51/x
  3. Step 3: Cross multiply
    370,730.67x = 511,625.40 × 209,592.51
  4. Step 4: Simplify right side
    370,730.67x = 107,232,851,765.75
  5. Step 5: Solve for x
    x = 107,232,851,765.75/370,730.67
  6. Step 6: Final answer
    x = 289,247.32

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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.