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Finding the Fourth Proportional to 498,444, 747,666 and 148,236

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Solution

The fourth proportional to 498,444, 747,666 and 148,236 is: 222,354

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,444 : 747,666 = 148,236 : x
  2. Step 2: Convert to fraction form
    498,444/747,666 = 148,236/x
  3. Step 3: Cross multiply
    498,444x = 747,666 × 148,236
  4. Step 4: Simplify right side
    498,444x = 110,831,017,176
  5. Step 5: Solve for x
    x = 110,831,017,176/498,444
  6. Step 6: Final answer
    x = 222,354

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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.