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Finding the Fourth Proportional to 370,364.16, 511,100.16 and 209,271.36

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Solution

The fourth proportional to 370,364.16, 511,100.16 and 209,271.36 is: 288,793.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,364.16 : 511,100.16 = 209,271.36 : x
  2. Step 2: Convert to fraction form
    370,364.16/511,100.16 = 209,271.36/x
  3. Step 3: Cross multiply
    370,364.16x = 511,100.16 × 209,271.36
  4. Step 4: Simplify right side
    370,364.16x = 106,958,625,579.42
  5. Step 5: Solve for x
    x = 106,958,625,579.42/370,364.16
  6. Step 6: Final answer
    x = 288,793.13

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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.