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Finding the Fourth Proportional to 385,328.80, 577,820.40 and 174,858.40

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Solution

The fourth proportional to 385,328.80, 577,820.40 and 174,858.40 is: 262,209.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,328.80 : 577,820.40 = 174,858.40 : x
  2. Step 2: Convert to fraction form
    385,328.80/577,820.40 = 174,858.40/x
  3. Step 3: Cross multiply
    385,328.80x = 577,820.40 × 174,858.40
  4. Step 4: Simplify right side
    385,328.80x = 101,036,750,631.36
  5. Step 5: Solve for x
    x = 101,036,750,631.36/385,328.80
  6. Step 6: Final answer
    x = 262,209.19

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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.