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Finding the Fourth Proportional to 260,403.32, 359,359.40 and 152,977.88

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Solution

The fourth proportional to 260,403.32, 359,359.40 and 152,977.88 is: 211,111.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,403.32 : 359,359.40 = 152,977.88 : x
  2. Step 2: Convert to fraction form
    260,403.32/359,359.40 = 152,977.88/x
  3. Step 3: Cross multiply
    260,403.32x = 359,359.40 × 152,977.88
  4. Step 4: Simplify right side
    260,403.32x = 54,974,039,170.07
  5. Step 5: Solve for x
    x = 54,974,039,170.07/260,403.32
  6. Step 6: Final answer
    x = 211,111.13

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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.