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Finding the Fourth Proportional to 385,649.58, 578,457.45 and 105,165.90

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Solution

The fourth proportional to 385,649.58, 578,457.45 and 105,165.90 is: 157,744.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,649.58 : 578,457.45 = 105,165.90 : x
  2. Step 2: Convert to fraction form
    385,649.58/578,457.45 = 105,165.90/x
  3. Step 3: Cross multiply
    385,649.58x = 578,457.45 × 105,165.90
  4. Step 4: Simplify right side
    385,649.58x = 60,833,998,340.96
  5. Step 5: Solve for x
    x = 60,833,998,340.96/385,649.58
  6. Step 6: Final answer
    x = 157,744.24

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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.