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Finding the Fourth Proportional to 450,123.84, 675,085.32 and 134,539.74

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Solution

The fourth proportional to 450,123.84, 675,085.32 and 134,539.74 is: 201,779.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,123.84 : 675,085.32 = 134,539.74 : x
  2. Step 2: Convert to fraction form
    450,123.84/675,085.32 = 134,539.74/x
  3. Step 3: Cross multiply
    450,123.84x = 675,085.32 × 134,539.74
  4. Step 4: Simplify right side
    450,123.84x = 90,825,803,430.62
  5. Step 5: Solve for x
    x = 90,825,803,430.62/450,123.84
  6. Step 6: Final answer
    x = 201,779.59

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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.