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Finding the Fourth Proportional to 285,365.25, 425,529.61 and 282,802.74

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Solution

The fourth proportional to 285,365.25, 425,529.61 and 282,802.74 is: 421,708.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,365.25 : 425,529.61 = 282,802.74 : x
  2. Step 2: Convert to fraction form
    285,365.25/425,529.61 = 282,802.74/x
  3. Step 3: Cross multiply
    285,365.25x = 425,529.61 × 282,802.74
  4. Step 4: Simplify right side
    285,365.25x = 120,340,939,659.13
  5. Step 5: Solve for x
    x = 120,340,939,659.13/285,365.25
  6. Step 6: Final answer
    x = 421,708.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.