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Finding the Fourth Proportional to 306,977.76, 459,616.32 and 156,894.90

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Solution

The fourth proportional to 306,977.76, 459,616.32 and 156,894.90 is: 234,907.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,977.76 : 459,616.32 = 156,894.90 : x
  2. Step 2: Convert to fraction form
    306,977.76/459,616.32 = 156,894.90/x
  3. Step 3: Cross multiply
    306,977.76x = 459,616.32 × 156,894.90
  4. Step 4: Simplify right side
    306,977.76x = 72,111,456,564.77
  5. Step 5: Solve for x
    x = 72,111,456,564.77/306,977.76
  6. Step 6: Final answer
    x = 234,907.76

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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.