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Finding the Fourth Proportional to 430,093.16, 645,124.95 and 110,248.14

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Solution

The fourth proportional to 430,093.16, 645,124.95 and 110,248.14 is: 165,368.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,093.16 : 645,124.95 = 110,248.14 : x
  2. Step 2: Convert to fraction form
    430,093.16/645,124.95 = 110,248.14/x
  3. Step 3: Cross multiply
    430,093.16x = 645,124.95 × 110,248.14
  4. Step 4: Simplify right side
    430,093.16x = 71,123,825,805.09
  5. Step 5: Solve for x
    x = 71,123,825,805.09/430,093.16
  6. Step 6: Final answer
    x = 165,368.42

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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.