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Finding the Fourth Proportional to 909,308, 1,364,016.68 and 278,227.28

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Solution

The fourth proportional to 909,308, 1,364,016.68 and 278,227.28 is: 417,357.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,308 : 1,364,016.68 = 278,227.28 : x
  2. Step 2: Convert to fraction form
    909,308/1,364,016.68 = 278,227.28/x
  3. Step 3: Cross multiply
    909,308x = 1,364,016.68 × 278,227.28
  4. Step 4: Simplify right side
    909,308x = 379,506,650,751.03
  5. Step 5: Solve for x
    x = 379,506,650,751.03/909,308
  6. Step 6: Final answer
    x = 417,357.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.