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Finding the Fourth Proportional to 498,638.60, 747,938.70 and 166,214.60

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Solution

The fourth proportional to 498,638.60, 747,938.70 and 166,214.60 is: 249,315.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,638.60 : 747,938.70 = 166,214.60 : x
  2. Step 2: Convert to fraction form
    498,638.60/747,938.70 = 166,214.60/x
  3. Step 3: Cross multiply
    498,638.60x = 747,938.70 × 166,214.60
  4. Step 4: Simplify right side
    498,638.60x = 124,318,331,845.02
  5. Step 5: Solve for x
    x = 124,318,331,845.02/498,638.60
  6. Step 6: Final answer
    x = 249,315.50

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1.5x scale

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.