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Finding the Fourth Proportional to 468,143.10, 702,214.65 and 420,903.90

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Solution

The fourth proportional to 468,143.10, 702,214.65 and 420,903.90 is: 631,355.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,143.10 : 702,214.65 = 420,903.90 : x
  2. Step 2: Convert to fraction form
    468,143.10/702,214.65 = 420,903.90/x
  3. Step 3: Cross multiply
    468,143.10x = 702,214.65 × 420,903.90
  4. Step 4: Simplify right side
    468,143.10x = 295,564,884,822.14
  5. Step 5: Solve for x
    x = 295,564,884,822.14/468,143.10
  6. Step 6: Final answer
    x = 631,355.85

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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.