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Finding the Fourth Proportional to 534,709.80, 801,416.70 and 309,637.80

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Solution

The fourth proportional to 534,709.80, 801,416.70 and 309,637.80 is: 464,081.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,709.80 : 801,416.70 = 309,637.80 : x
  2. Step 2: Convert to fraction form
    534,709.80/801,416.70 = 309,637.80/x
  3. Step 3: Cross multiply
    534,709.80x = 801,416.70 × 309,637.80
  4. Step 4: Simplify right side
    534,709.80x = 248,148,903,871.26
  5. Step 5: Solve for x
    x = 248,148,903,871.26/534,709.80
  6. Step 6: Final answer
    x = 464,081.46

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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.