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Finding the Fourth Proportional to 338,724.95, 508,037.96 and 98,774.38

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Solution

The fourth proportional to 338,724.95, 508,037.96 and 98,774.38 is: 148,147.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,724.95 : 508,037.96 = 98,774.38 : x
  2. Step 2: Convert to fraction form
    338,724.95/508,037.96 = 98,774.38/x
  3. Step 3: Cross multiply
    338,724.95x = 508,037.96 × 98,774.38
  4. Step 4: Simplify right side
    338,724.95x = 50,181,133,492.31
  5. Step 5: Solve for x
    x = 50,181,133,492.31/338,724.95
  6. Step 6: Final answer
    x = 148,147.14

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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.