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Finding the Fourth Proportional to 312,259.36, 468,438 and 101,848.72

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Solution

The fourth proportional to 312,259.36, 468,438 and 101,848.72 is: 152,789.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,259.36 : 468,438 = 101,848.72 : x
  2. Step 2: Convert to fraction form
    312,259.36/468,438 = 101,848.72/x
  3. Step 3: Cross multiply
    312,259.36x = 468,438 × 101,848.72
  4. Step 4: Simplify right side
    312,259.36x = 47,709,810,699.36
  5. Step 5: Solve for x
    x = 47,709,810,699.36/312,259.36
  6. Step 6: Final answer
    x = 152,789.05

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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.