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Finding the Fourth Proportional to 370,710.12, 511,602.02 and 209,580.16

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Solution

The fourth proportional to 370,710.12, 511,602.02 and 209,580.16 is: 289,233.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,710.12 : 511,602.02 = 209,580.16 : x
  2. Step 2: Convert to fraction form
    370,710.12/511,602.02 = 209,580.16/x
  3. Step 3: Cross multiply
    370,710.12x = 511,602.02 × 209,580.16
  4. Step 4: Simplify right side
    370,710.12x = 107,221,633,805.09
  5. Step 5: Solve for x
    x = 107,221,633,805.09/370,710.12
  6. Step 6: Final answer
    x = 289,233.09

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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.