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Finding the Fourth Proportional to 286,517.60, 429,776.40 and 166,779.35

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Solution

The fourth proportional to 286,517.60, 429,776.40 and 166,779.35 is: 250,169.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,517.60 : 429,776.40 = 166,779.35 : x
  2. Step 2: Convert to fraction form
    286,517.60/429,776.40 = 166,779.35/x
  3. Step 3: Cross multiply
    286,517.60x = 429,776.40 × 166,779.35
  4. Step 4: Simplify right side
    286,517.60x = 71,677,828,637.34
  5. Step 5: Solve for x
    x = 71,677,828,637.34/286,517.60
  6. Step 6: Final answer
    x = 250,169.03

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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.