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Finding the Fourth Proportional to 385,572.96, 578,342.43 and 105,090.21

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Solution

The fourth proportional to 385,572.96, 578,342.43 and 105,090.21 is: 157,630.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,572.96 : 578,342.43 = 105,090.21 : x
  2. Step 2: Convert to fraction form
    385,572.96/578,342.43 = 105,090.21/x
  3. Step 3: Cross multiply
    385,572.96x = 578,342.43 × 105,090.21
  4. Step 4: Simplify right side
    385,572.96x = 60,778,127,420.61
  5. Step 5: Solve for x
    x = 60,778,127,420.61/385,572.96
  6. Step 6: Final answer
    x = 157,630.68

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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.