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Finding the Fourth Proportional to 370,842.07, 511,772.10 and 209,721.13

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Solution

The fourth proportional to 370,842.07, 511,772.10 and 209,721.13 is: 289,420.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,842.07 : 511,772.10 = 209,721.13 : x
  2. Step 2: Convert to fraction form
    370,842.07/511,772.10 = 209,721.13/x
  3. Step 3: Cross multiply
    370,842.07x = 511,772.10 × 209,721.13
  4. Step 4: Simplify right side
    370,842.07x = 107,329,423,114.47
  5. Step 5: Solve for x
    x = 107,329,423,114.47/370,842.07
  6. Step 6: Final answer
    x = 289,420.84

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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.