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Finding the Fourth Proportional to 348,830, 523,323 and 127,214

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Solution

The fourth proportional to 348,830, 523,323 and 127,214 is: 190,849.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,830 : 523,323 = 127,214 : x
  2. Step 2: Convert to fraction form
    348,830/523,323 = 127,214/x
  3. Step 3: Cross multiply
    348,830x = 523,323 × 127,214
  4. Step 4: Simplify right side
    348,830x = 66,574,012,122
  5. Step 5: Solve for x
    x = 66,574,012,122/348,830
  6. Step 6: Final answer
    x = 190,849.45

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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.