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Finding the Fourth Proportional to 384,729.80, 577,094.70 and 243,012.20

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Solution

The fourth proportional to 384,729.80, 577,094.70 and 243,012.20 is: 364,518.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,729.80 : 577,094.70 = 243,012.20 : x
  2. Step 2: Convert to fraction form
    384,729.80/577,094.70 = 243,012.20/x
  3. Step 3: Cross multiply
    384,729.80x = 577,094.70 × 243,012.20
  4. Step 4: Simplify right side
    384,729.80x = 140,241,052,655.34
  5. Step 5: Solve for x
    x = 140,241,052,655.34/384,729.80
  6. Step 6: Final answer
    x = 364,518.30

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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.