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Finding the Fourth Proportional to 385,203.40, 577,717.62 and 185,421.76

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Solution

The fourth proportional to 385,203.40, 577,717.62 and 185,421.76 is: 278,090.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,203.40 : 577,717.62 = 185,421.76 : x
  2. Step 2: Convert to fraction form
    385,203.40/577,717.62 = 185,421.76/x
  3. Step 3: Cross multiply
    385,203.40x = 577,717.62 × 185,421.76
  4. Step 4: Simplify right side
    385,203.40x = 107,121,417,883.41
  5. Step 5: Solve for x
    x = 107,121,417,883.41/385,203.40
  6. Step 6: Final answer
    x = 278,090.53

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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.