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Finding the Fourth Proportional to 385,573.96, 578,343.93 and 105,091.21

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Solution

The fourth proportional to 385,573.96, 578,343.93 and 105,091.21 is: 157,632.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,573.96 : 578,343.93 = 105,091.21 : x
  2. Step 2: Convert to fraction form
    385,573.96/578,343.93 = 105,091.21/x
  3. Step 3: Cross multiply
    385,573.96x = 578,343.93 × 105,091.21
  4. Step 4: Simplify right side
    385,573.96x = 60,778,863,399.86
  5. Step 5: Solve for x
    x = 60,778,863,399.86/385,573.96
  6. Step 6: Final answer
    x = 157,632.18

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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.