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Finding the Fourth Proportional to 456,218.10, 684,715.95 and 203,886.90

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Solution

The fourth proportional to 456,218.10, 684,715.95 and 203,886.90 is: 306,004.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,218.10 : 684,715.95 = 203,886.90 : x
  2. Step 2: Convert to fraction form
    456,218.10/684,715.95 = 203,886.90/x
  3. Step 3: Cross multiply
    456,218.10x = 684,715.95 × 203,886.90
  4. Step 4: Simplify right side
    456,218.10x = 139,604,612,426.06
  5. Step 5: Solve for x
    x = 139,604,612,426.06/456,218.10
  6. Step 6: Final answer
    x = 306,004.11

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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.