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Finding the Fourth Proportional to 370,802.96, 511,693.89 and 209,661.38

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Solution

The fourth proportional to 370,802.96, 511,693.89 and 209,661.38 is: 289,324.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,802.96 : 511,693.89 = 209,661.38 : x
  2. Step 2: Convert to fraction form
    370,802.96/511,693.89 = 209,661.38/x
  3. Step 3: Cross multiply
    370,802.96x = 511,693.89 × 209,661.38
  4. Step 4: Simplify right side
    370,802.96x = 107,282,445,689.12
  5. Step 5: Solve for x
    x = 107,282,445,689.12/370,802.96
  6. Step 6: Final answer
    x = 289,324.68

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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.