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Finding the Fourth Proportional to 260,218.42, 390,061.77 and 147,661

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Solution

The fourth proportional to 260,218.42, 390,061.77 and 147,661 is: 221,340.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,218.42 : 390,061.77 = 147,661 : x
  2. Step 2: Convert to fraction form
    260,218.42/390,061.77 = 147,661/x
  3. Step 3: Cross multiply
    260,218.42x = 390,061.77 × 147,661
  4. Step 4: Simplify right side
    260,218.42x = 57,596,911,019.97
  5. Step 5: Solve for x
    x = 57,596,911,019.97/260,218.42
  6. Step 6: Final answer
    x = 221,340.64

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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.