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Finding the Fourth Proportional to 370,511.12, 511,298.67 and 209,362.68

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Solution

The fourth proportional to 370,511.12, 511,298.67 and 209,362.68 is: 288,916.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,511.12 : 511,298.67 = 209,362.68 : x
  2. Step 2: Convert to fraction form
    370,511.12/511,298.67 = 209,362.68/x
  3. Step 3: Cross multiply
    370,511.12x = 511,298.67 × 209,362.68
  4. Step 4: Simplify right side
    370,511.12x = 107,046,859,831.64
  5. Step 5: Solve for x
    x = 107,046,859,831.64/370,511.12
  6. Step 6: Final answer
    x = 288,916.73

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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.