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Finding the Fourth Proportional to 312,768, 469,238.40 and 91,152

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Solution

The fourth proportional to 312,768, 469,238.40 and 91,152 is: 136,753.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,768 : 469,238.40 = 91,152 : x
  2. Step 2: Convert to fraction form
    312,768/469,238.40 = 91,152/x
  3. Step 3: Cross multiply
    312,768x = 469,238.40 × 91,152
  4. Step 4: Simplify right side
    312,768x = 42,772,018,636.80
  5. Step 5: Solve for x
    x = 42,772,018,636.80/312,768
  6. Step 6: Final answer
    x = 136,753.18

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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.