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Finding the Fourth Proportional to 371,448, 512,570.20 and 210,266.08

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Solution

The fourth proportional to 371,448, 512,570.20 and 210,266.08 is: 290,151.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,448 : 512,570.20 = 210,266.08 : x
  2. Step 2: Convert to fraction form
    371,448/512,570.20 = 210,266.08/x
  3. Step 3: Cross multiply
    371,448x = 512,570.20 × 210,266.08
  4. Step 4: Simplify right side
    371,448x = 107,776,126,678.82
  5. Step 5: Solve for x
    x = 107,776,126,678.82/371,448
  6. Step 6: Final answer
    x = 290,151.32

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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.