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Finding the Fourth Proportional to 498,445, 747,667.50 and 148,237

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Solution

The fourth proportional to 498,445, 747,667.50 and 148,237 is: 222,355.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,445 : 747,667.50 = 148,237 : x
  2. Step 2: Convert to fraction form
    498,445/747,667.50 = 148,237/x
  3. Step 3: Cross multiply
    498,445x = 747,667.50 × 148,237
  4. Step 4: Simplify right side
    498,445x = 110,831,987,197.50
  5. Step 5: Solve for x
    x = 110,831,987,197.50/498,445
  6. Step 6: Final answer
    x = 222,355.50

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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.