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Finding the Fourth Proportional to 255,487.43, 383,276.16 and 105,643.76

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Solution

The fourth proportional to 255,487.43, 383,276.16 and 105,643.76 is: 158,484.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,487.43 : 383,276.16 = 105,643.76 : x
  2. Step 2: Convert to fraction form
    255,487.43/383,276.16 = 105,643.76/x
  3. Step 3: Cross multiply
    255,487.43x = 383,276.16 × 105,643.76
  4. Step 4: Simplify right side
    255,487.43x = 40,490,732,744.38
  5. Step 5: Solve for x
    x = 40,490,732,744.38/255,487.43
  6. Step 6: Final answer
    x = 158,484.25

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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.