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Finding the Fourth Proportional to 312,459.40, 468,641.58 and 102,097

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Solution

The fourth proportional to 312,459.40, 468,641.58 and 102,097 is: 153,129.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,459.40 : 468,641.58 = 102,097 : x
  2. Step 2: Convert to fraction form
    312,459.40/468,641.58 = 102,097/x
  3. Step 3: Cross multiply
    312,459.40x = 468,641.58 × 102,097
  4. Step 4: Simplify right side
    312,459.40x = 47,846,899,393.26
  5. Step 5: Solve for x
    x = 47,846,899,393.26/312,459.40
  6. Step 6: Final answer
    x = 153,129.97

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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.