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Finding the Fourth Proportional to 488,428.40, 732,642.60 and 274,977.20

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Solution

The fourth proportional to 488,428.40, 732,642.60 and 274,977.20 is: 412,465.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,428.40 : 732,642.60 = 274,977.20 : x
  2. Step 2: Convert to fraction form
    488,428.40/732,642.60 = 274,977.20/x
  3. Step 3: Cross multiply
    488,428.40x = 732,642.60 × 274,977.20
  4. Step 4: Simplify right side
    488,428.40x = 201,460,010,748.72
  5. Step 5: Solve for x
    x = 201,460,010,748.72/488,428.40
  6. Step 6: Final answer
    x = 412,465.80

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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.