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Finding the Fourth Proportional to 293,509.65, 440,412.20 and 218,779.86

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Solution

The fourth proportional to 293,509.65, 440,412.20 and 218,779.86 is: 328,279.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,509.65 : 440,412.20 = 218,779.86 : x
  2. Step 2: Convert to fraction form
    293,509.65/440,412.20 = 218,779.86/x
  3. Step 3: Cross multiply
    293,509.65x = 440,412.20 × 218,779.86
  4. Step 4: Simplify right side
    293,509.65x = 96,353,319,458.29
  5. Step 5: Solve for x
    x = 96,353,319,458.29/293,509.65
  6. Step 6: Final answer
    x = 328,279.90

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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.