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Finding the Fourth Proportional to 456,137.93, 684,303.49 and 136,314.70

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Solution

The fourth proportional to 456,137.93, 684,303.49 and 136,314.70 is: 204,500.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,137.93 : 684,303.49 = 136,314.70 : x
  2. Step 2: Convert to fraction form
    456,137.93/684,303.49 = 136,314.70/x
  3. Step 3: Cross multiply
    456,137.93x = 684,303.49 × 136,314.70
  4. Step 4: Simplify right side
    456,137.93x = 93,280,623,407.94
  5. Step 5: Solve for x
    x = 93,280,623,407.94/456,137.93
  6. Step 6: Final answer
    x = 204,500.91

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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.