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Finding the Fourth Proportional to 385,280.20, 577,661.10 and 174,809.80

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Solution

The fourth proportional to 385,280.20, 577,661.10 and 174,809.80 is: 262,097.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,280.20 : 577,661.10 = 174,809.80 : x
  2. Step 2: Convert to fraction form
    385,280.20/577,661.10 = 174,809.80/x
  3. Step 3: Cross multiply
    385,280.20x = 577,661.10 × 174,809.80
  4. Step 4: Simplify right side
    385,280.20x = 100,980,821,358.78
  5. Step 5: Solve for x
    x = 100,980,821,358.78/385,280.20
  6. Step 6: Final answer
    x = 262,097.10

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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.