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Finding the Fourth Proportional to 263,779.34, 364,013.80 and 142,920.05

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Solution

The fourth proportional to 263,779.34, 364,013.80 and 142,920.05 is: 197,228.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,779.34 : 364,013.80 = 142,920.05 : x
  2. Step 2: Convert to fraction form
    263,779.34/364,013.80 = 142,920.05/x
  3. Step 3: Cross multiply
    263,779.34x = 364,013.80 × 142,920.05
  4. Step 4: Simplify right side
    263,779.34x = 52,024,868,319.32
  5. Step 5: Solve for x
    x = 52,024,868,319.32/263,779.34
  6. Step 6: Final answer
    x = 197,228.75

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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.