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Finding the Fourth Proportional to 255,871.52, 383,539.16 and 143,386.82

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Solution

The fourth proportional to 255,871.52, 383,539.16 and 143,386.82 is: 214,929.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,871.52 : 383,539.16 = 143,386.82 : x
  2. Step 2: Convert to fraction form
    255,871.52/383,539.16 = 143,386.82/x
  3. Step 3: Cross multiply
    255,871.52x = 383,539.16 × 143,386.82
  4. Step 4: Simplify right side
    255,871.52x = 54,994,460,497.87
  5. Step 5: Solve for x
    x = 54,994,460,497.87/255,871.52
  6. Step 6: Final answer
    x = 214,929.98

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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.