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Finding the Fourth Proportional to 370,047.78, 510,637.41 and 208,918.71

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Solution

The fourth proportional to 370,047.78, 510,637.41 and 208,918.71 is: 288,291.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,047.78 : 510,637.41 = 208,918.71 : x
  2. Step 2: Convert to fraction form
    370,047.78/510,637.41 = 208,918.71/x
  3. Step 3: Cross multiply
    370,047.78x = 510,637.41 × 208,918.71
  4. Step 4: Simplify right side
    370,047.78x = 106,681,708,974.94
  5. Step 5: Solve for x
    x = 106,681,708,974.94/370,047.78
  6. Step 6: Final answer
    x = 288,291.71

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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.