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Finding the Fourth Proportional to 385,688.40, 578,532.60 and 377,815.20

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Solution

The fourth proportional to 385,688.40, 578,532.60 and 377,815.20 is: 566,722.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,688.40 : 578,532.60 = 377,815.20 : x
  2. Step 2: Convert to fraction form
    385,688.40/578,532.60 = 377,815.20/x
  3. Step 3: Cross multiply
    385,688.40x = 578,532.60 × 377,815.20
  4. Step 4: Simplify right side
    385,688.40x = 218,578,409,975.52
  5. Step 5: Solve for x
    x = 218,578,409,975.52/385,688.40
  6. Step 6: Final answer
    x = 566,722.80

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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.