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Finding the Fourth Proportional to 312,420.57, 468,533.99 and 112,715.01

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Solution

The fourth proportional to 312,420.57, 468,533.99 and 112,715.01 is: 169,037.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,420.57 : 468,533.99 = 112,715.01 : x
  2. Step 2: Convert to fraction form
    312,420.57/468,533.99 = 112,715.01/x
  3. Step 3: Cross multiply
    312,420.57x = 468,533.99 × 112,715.01
  4. Step 4: Simplify right side
    312,420.57x = 52,810,813,368.19
  5. Step 5: Solve for x
    x = 52,810,813,368.19/312,420.57
  6. Step 6: Final answer
    x = 169,037.57

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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.