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Finding the Fourth Proportional to 385,291.80, 577,937.70 and 243,574.20

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Solution

The fourth proportional to 385,291.80, 577,937.70 and 243,574.20 is: 365,361.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,291.80 : 577,937.70 = 243,574.20 : x
  2. Step 2: Convert to fraction form
    385,291.80/577,937.70 = 243,574.20/x
  3. Step 3: Cross multiply
    385,291.80x = 577,937.70 × 243,574.20
  4. Step 4: Simplify right side
    385,291.80x = 140,770,712,927.34
  5. Step 5: Solve for x
    x = 140,770,712,927.34/385,291.80
  6. Step 6: Final answer
    x = 365,361.30

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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.