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Finding the Fourth Proportional to 370,507.12, 511,293.14 and 209,358.70

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Solution

The fourth proportional to 370,507.12, 511,293.14 and 209,358.70 is: 288,911.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,507.12 : 511,293.14 = 209,358.70 : x
  2. Step 2: Convert to fraction form
    370,507.12/511,293.14 = 209,358.70/x
  3. Step 3: Cross multiply
    370,507.12x = 511,293.14 × 209,358.70
  4. Step 4: Simplify right side
    370,507.12x = 107,043,664,552.85
  5. Step 5: Solve for x
    x = 107,043,664,552.85/370,507.12
  6. Step 6: Final answer
    x = 288,911.23

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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.