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Finding the Fourth Proportional to 484,767.84, 727,188.24 and 129,774

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Solution

The fourth proportional to 484,767.84, 727,188.24 and 129,774 is: 194,670.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,767.84 : 727,188.24 = 129,774 : x
  2. Step 2: Convert to fraction form
    484,767.84/727,188.24 = 129,774/x
  3. Step 3: Cross multiply
    484,767.84x = 727,188.24 × 129,774
  4. Step 4: Simplify right side
    484,767.84x = 94,370,126,657.76
  5. Step 5: Solve for x
    x = 94,370,126,657.76/484,767.84
  6. Step 6: Final answer
    x = 194,670.77

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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.