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Finding the Fourth Proportional to 260,567.58, 390,751.74 and 142,175.64

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Solution

The fourth proportional to 260,567.58, 390,751.74 and 142,175.64 is: 213,209.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,567.58 : 390,751.74 = 142,175.64 : x
  2. Step 2: Convert to fraction form
    260,567.58/390,751.74 = 142,175.64/x
  3. Step 3: Cross multiply
    260,567.58x = 390,751.74 × 142,175.64
  4. Step 4: Simplify right side
    260,567.58x = 55,555,378,715.61
  5. Step 5: Solve for x
    x = 55,555,378,715.61/260,567.58
  6. Step 6: Final answer
    x = 213,209.10

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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.