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Finding the Fourth Proportional to 314,329.40, 471,511.51 and 89,672.56

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Solution

The fourth proportional to 314,329.40, 471,511.51 and 89,672.56 is: 134,513.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,329.40 : 471,511.51 = 89,672.56 : x
  2. Step 2: Convert to fraction form
    314,329.40/471,511.51 = 89,672.56/x
  3. Step 3: Cross multiply
    314,329.40x = 471,511.51 × 89,672.56
  4. Step 4: Simplify right side
    314,329.40x = 42,281,641,813.61
  5. Step 5: Solve for x
    x = 42,281,641,813.61/314,329.40
  6. Step 6: Final answer
    x = 134,513.80

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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.