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Finding the Fourth Proportional to 312,977.48, 469,492.48 and 99,775.68

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Solution

The fourth proportional to 312,977.48, 469,492.48 and 99,775.68 is: 149,671.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,977.48 : 469,492.48 = 99,775.68 : x
  2. Step 2: Convert to fraction form
    312,977.48/469,492.48 = 99,775.68/x
  3. Step 3: Cross multiply
    312,977.48x = 469,492.48 × 99,775.68
  4. Step 4: Simplify right side
    312,977.48x = 46,843,931,446.89
  5. Step 5: Solve for x
    x = 46,843,931,446.89/312,977.48
  6. Step 6: Final answer
    x = 149,671.89

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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.