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Finding the Fourth Proportional to 346,496, 519,744 and 83,840

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Solution

The fourth proportional to 346,496, 519,744 and 83,840 is: 125,760

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,496 : 519,744 = 83,840 : x
  2. Step 2: Convert to fraction form
    346,496/519,744 = 83,840/x
  3. Step 3: Cross multiply
    346,496x = 519,744 × 83,840
  4. Step 4: Simplify right side
    346,496x = 43,575,336,960
  5. Step 5: Solve for x
    x = 43,575,336,960/346,496
  6. Step 6: Final answer
    x = 125,760

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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.