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Finding the Fourth Proportional to 496,977.60, 745,408.80 and 142,046.40

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Solution

The fourth proportional to 496,977.60, 745,408.80 and 142,046.40 is: 213,053.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,977.60 : 745,408.80 = 142,046.40 : x
  2. Step 2: Convert to fraction form
    496,977.60/745,408.80 = 142,046.40/x
  3. Step 3: Cross multiply
    496,977.60x = 745,408.80 × 142,046.40
  4. Step 4: Simplify right side
    496,977.60x = 105,882,636,568.32
  5. Step 5: Solve for x
    x = 105,882,636,568.32/496,977.60
  6. Step 6: Final answer
    x = 213,053.14

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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.