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Finding the Fourth Proportional to 370,426.49, 511,187.45 and 209,281.48

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Solution

The fourth proportional to 370,426.49, 511,187.45 and 209,281.48 is: 288,807.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,426.49 : 511,187.45 = 209,281.48 : x
  2. Step 2: Convert to fraction form
    370,426.49/511,187.45 = 209,281.48/x
  3. Step 3: Cross multiply
    370,426.49x = 511,187.45 × 209,281.48
  4. Step 4: Simplify right side
    370,426.49x = 106,982,066,093.43
  5. Step 5: Solve for x
    x = 106,982,066,093.43/370,426.49
  6. Step 6: Final answer
    x = 288,807.82

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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.