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Finding the Fourth Proportional to 402,457.14, 603,772.83 and 121,995.54

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Solution

The fourth proportional to 402,457.14, 603,772.83 and 121,995.54 is: 183,019.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,457.14 : 603,772.83 = 121,995.54 : x
  2. Step 2: Convert to fraction form
    402,457.14/603,772.83 = 121,995.54/x
  3. Step 3: Cross multiply
    402,457.14x = 603,772.83 × 121,995.54
  4. Step 4: Simplify right side
    402,457.14x = 73,657,592,433.18
  5. Step 5: Solve for x
    x = 73,657,592,433.18/402,457.14
  6. Step 6: Final answer
    x = 183,019.72

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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.