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Finding the Fourth Proportional to 502,779.16, 693,735.76 and 282,023.56

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Solution

The fourth proportional to 502,779.16, 693,735.76 and 282,023.56 is: 389,136.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,779.16 : 693,735.76 = 282,023.56 : x
  2. Step 2: Convert to fraction form
    502,779.16/693,735.76 = 282,023.56/x
  3. Step 3: Cross multiply
    502,779.16x = 693,735.76 × 282,023.56
  4. Step 4: Simplify right side
    502,779.16x = 195,649,828,734.51
  5. Step 5: Solve for x
    x = 195,649,828,734.51/502,779.16
  6. Step 6: Final answer
    x = 389,136.71

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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.