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Finding the Fourth Proportional to 283,509.61, 425,347.47 and 83,835.18

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Solution

The fourth proportional to 283,509.61, 425,347.47 and 83,835.18 is: 125,777.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,509.61 : 425,347.47 = 83,835.18 : x
  2. Step 2: Convert to fraction form
    283,509.61/425,347.47 = 83,835.18/x
  3. Step 3: Cross multiply
    283,509.61x = 425,347.47 × 83,835.18
  4. Step 4: Simplify right side
    283,509.61x = 35,659,079,164.08
  5. Step 5: Solve for x
    x = 35,659,079,164.08/283,509.61
  6. Step 6: Final answer
    x = 125,777.32

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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.