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Finding the Fourth Proportional to 338,813.94, 508,852.74 and 298,301.76

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Solution

The fourth proportional to 338,813.94, 508,852.74 and 298,301.76 is: 448,008.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,813.94 : 508,852.74 = 298,301.76 : x
  2. Step 2: Convert to fraction form
    338,813.94/508,852.74 = 298,301.76/x
  3. Step 3: Cross multiply
    338,813.94x = 508,852.74 × 298,301.76
  4. Step 4: Simplify right side
    338,813.94x = 151,791,667,922.82
  5. Step 5: Solve for x
    x = 151,791,667,922.82/338,813.94
  6. Step 6: Final answer
    x = 448,008.92

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1.5x scale

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.