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Finding the Fourth Proportional to 260,855.66, 359,970.53 and 147,678.41

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Solution

The fourth proportional to 260,855.66, 359,970.53 and 147,678.41 is: 203,790.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,855.66 : 359,970.53 = 147,678.41 : x
  2. Step 2: Convert to fraction form
    260,855.66/359,970.53 = 147,678.41/x
  3. Step 3: Cross multiply
    260,855.66x = 359,970.53 × 147,678.41
  4. Step 4: Simplify right side
    260,855.66x = 53,159,872,979.01
  5. Step 5: Solve for x
    x = 53,159,872,979.01/260,855.66
  6. Step 6: Final answer
    x = 203,790.38

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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.