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Finding the Fourth Proportional to 493,853.02, 740,779.80 and 138,867.04

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Solution

The fourth proportional to 493,853.02, 740,779.80 and 138,867.04 is: 208,300.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,853.02 : 740,779.80 = 138,867.04 : x
  2. Step 2: Convert to fraction form
    493,853.02/740,779.80 = 138,867.04/x
  3. Step 3: Cross multiply
    493,853.02x = 740,779.80 × 138,867.04
  4. Step 4: Simplify right side
    493,853.02x = 102,869,898,117.79
  5. Step 5: Solve for x
    x = 102,869,898,117.79/493,853.02
  6. Step 6: Final answer
    x = 208,300.64

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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.