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Finding the Fourth Proportional to 502,165.79, 693,109.30 and 287,430.33

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Solution

The fourth proportional to 502,165.79, 693,109.30 and 287,430.33 is: 396,722.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,165.79 : 693,109.30 = 287,430.33 : x
  2. Step 2: Convert to fraction form
    502,165.79/693,109.30 = 287,430.33/x
  3. Step 3: Cross multiply
    502,165.79x = 693,109.30 × 287,430.33
  4. Step 4: Simplify right side
    502,165.79x = 199,220,634,825.07
  5. Step 5: Solve for x
    x = 199,220,634,825.07/502,165.79
  6. Step 6: Final answer
    x = 396,722.83

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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.