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Finding the Fourth Proportional to 370,803.90, 511,719.45 and 209,683.05

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Solution

The fourth proportional to 370,803.90, 511,719.45 and 209,683.05 is: 289,368.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,803.90 : 511,719.45 = 209,683.05 : x
  2. Step 2: Convert to fraction form
    370,803.90/511,719.45 = 209,683.05/x
  3. Step 3: Cross multiply
    370,803.90x = 511,719.45 × 209,683.05
  4. Step 4: Simplify right side
    370,803.90x = 107,298,894,380.67
  5. Step 5: Solve for x
    x = 107,298,894,380.67/370,803.90
  6. Step 6: Final answer
    x = 289,368.30

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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.