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Finding the Fourth Proportional to 298,977.30, 448,465.95 and 156,627.90

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Solution

The fourth proportional to 298,977.30, 448,465.95 and 156,627.90 is: 234,941.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,977.30 : 448,465.95 = 156,627.90 : x
  2. Step 2: Convert to fraction form
    298,977.30/448,465.95 = 156,627.90/x
  3. Step 3: Cross multiply
    298,977.30x = 448,465.95 × 156,627.90
  4. Step 4: Simplify right side
    298,977.30x = 70,242,279,970.01
  5. Step 5: Solve for x
    x = 70,242,279,970.01/298,977.30
  6. Step 6: Final answer
    x = 234,941.85

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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.