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Finding the Fourth Proportional to 346,321.17, 519,533.70 and 121,642

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Solution

The fourth proportional to 346,321.17, 519,533.70 and 121,642 is: 182,481.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,321.17 : 519,533.70 = 121,642 : x
  2. Step 2: Convert to fraction form
    346,321.17/519,533.70 = 121,642/x
  3. Step 3: Cross multiply
    346,321.17x = 519,533.70 × 121,642
  4. Step 4: Simplify right side
    346,321.17x = 63,197,118,335.40
  5. Step 5: Solve for x
    x = 63,197,118,335.40/346,321.17
  6. Step 6: Final answer
    x = 182,481.25

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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.