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Finding the Fourth Proportional to 233,679, 322,499.78 and 138,216.45

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Solution

The fourth proportional to 233,679, 322,499.78 and 138,216.45 is: 190,752.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,679 : 322,499.78 = 138,216.45 : x
  2. Step 2: Convert to fraction form
    233,679/322,499.78 = 138,216.45/x
  3. Step 3: Cross multiply
    233,679x = 322,499.78 × 138,216.45
  4. Step 4: Simplify right side
    233,679x = 44,574,774,026.30
  5. Step 5: Solve for x
    x = 44,574,774,026.30/233,679
  6. Step 6: Final answer
    x = 190,752.16

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1.5x scale

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.