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Finding the Fourth Proportional to 348,128, 480,419.52 and 189,152

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Solution

The fourth proportional to 348,128, 480,419.52 and 189,152 is: 261,031.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,128 : 480,419.52 = 189,152 : x
  2. Step 2: Convert to fraction form
    348,128/480,419.52 = 189,152/x
  3. Step 3: Cross multiply
    348,128x = 480,419.52 × 189,152
  4. Step 4: Simplify right side
    348,128x = 90,872,313,047.04
  5. Step 5: Solve for x
    x = 90,872,313,047.04/348,128
  6. Step 6: Final answer
    x = 261,031.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.