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Finding the Fourth Proportional to 255,295.48, 382,957.62 and 77,808.28

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Solution

The fourth proportional to 255,295.48, 382,957.62 and 77,808.28 is: 116,716.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,295.48 : 382,957.62 = 77,808.28 : x
  2. Step 2: Convert to fraction form
    255,295.48/382,957.62 = 77,808.28/x
  3. Step 3: Cross multiply
    255,295.48x = 382,957.62 × 77,808.28
  4. Step 4: Simplify right side
    255,295.48x = 29,797,271,810.31
  5. Step 5: Solve for x
    x = 29,797,271,810.31/255,295.48
  6. Step 6: Final answer
    x = 116,716.80

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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.