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Finding the Fourth Proportional to 385,643.40, 578,465.10 and 377,770.20

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Solution

The fourth proportional to 385,643.40, 578,465.10 and 377,770.20 is: 566,655.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,643.40 : 578,465.10 = 377,770.20 : x
  2. Step 2: Convert to fraction form
    385,643.40/578,465.10 = 377,770.20/x
  3. Step 3: Cross multiply
    385,643.40x = 578,465.10 × 377,770.20
  4. Step 4: Simplify right side
    385,643.40x = 218,526,876,520.02
  5. Step 5: Solve for x
    x = 218,526,876,520.02/385,643.40
  6. Step 6: Final answer
    x = 566,655.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.