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Finding the Fourth Proportional to 266,381.84, 399,323.64 and 97,856.92

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Solution

The fourth proportional to 266,381.84, 399,323.64 and 97,856.92 is: 146,693.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,381.84 : 399,323.64 = 97,856.92 : x
  2. Step 2: Convert to fraction form
    266,381.84/399,323.64 = 97,856.92/x
  3. Step 3: Cross multiply
    266,381.84x = 399,323.64 × 97,856.92
  4. Step 4: Simplify right side
    266,381.84x = 39,076,580,113.51
  5. Step 5: Solve for x
    x = 39,076,580,113.51/266,381.84
  6. Step 6: Final answer
    x = 146,693.86

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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.