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Finding the Fourth Proportional to 385,602.96, 578,387.40 and 105,120.24

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Solution

The fourth proportional to 385,602.96, 578,387.40 and 105,120.24 is: 157,675.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,602.96 : 578,387.40 = 105,120.24 : x
  2. Step 2: Convert to fraction form
    385,602.96/578,387.40 = 105,120.24/x
  3. Step 3: Cross multiply
    385,602.96x = 578,387.40 × 105,120.24
  4. Step 4: Simplify right side
    385,602.96x = 60,800,222,300.98
  5. Step 5: Solve for x
    x = 60,800,222,300.98/385,602.96
  6. Step 6: Final answer
    x = 157,675.71

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1.5x scale

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.