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Finding the Fourth Proportional to 370,794.51, 511,693.34 and 209,681.19

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Solution

The fourth proportional to 370,794.51, 511,693.34 and 209,681.19 is: 289,358.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,794.51 : 511,693.34 = 209,681.19 : x
  2. Step 2: Convert to fraction form
    370,794.51/511,693.34 = 209,681.19/x
  3. Step 3: Cross multiply
    370,794.51x = 511,693.34 × 209,681.19
  4. Step 4: Simplify right side
    370,794.51x = 107,292,467,397.87
  5. Step 5: Solve for x
    x = 107,292,467,397.87/370,794.51
  6. Step 6: Final answer
    x = 289,358.30

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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.