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Finding the Fourth Proportional to 312,804.90, 469,240.14 and 102,459.24

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Solution

The fourth proportional to 312,804.90, 469,240.14 and 102,459.24 is: 153,699.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,804.90 : 469,240.14 = 102,459.24 : x
  2. Step 2: Convert to fraction form
    312,804.90/469,240.14 = 102,459.24/x
  3. Step 3: Cross multiply
    312,804.90x = 469,240.14 × 102,459.24
  4. Step 4: Simplify right side
    312,804.90x = 48,077,988,121.89
  5. Step 5: Solve for x
    x = 48,077,988,121.89/312,804.90
  6. Step 6: Final answer
    x = 153,699.60

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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.