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Finding the Fourth Proportional to 370,499.81, 511,319.75 and 209,388.29

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Solution

The fourth proportional to 370,499.81, 511,319.75 and 209,388.29 is: 288,972.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,499.81 : 511,319.75 = 209,388.29 : x
  2. Step 2: Convert to fraction form
    370,499.81/511,319.75 = 209,388.29/x
  3. Step 3: Cross multiply
    370,499.81x = 511,319.75 × 209,388.29
  4. Step 4: Simplify right side
    370,499.81x = 107,064,364,492.19
  5. Step 5: Solve for x
    x = 107,064,364,492.19/370,499.81
  6. Step 6: Final answer
    x = 288,972.80

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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.