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Finding the Fourth Proportional to 385,461.28, 577,349.86 and 160,138.54

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Solution

The fourth proportional to 385,461.28, 577,349.86 and 160,138.54 is: 239,857.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,461.28 : 577,349.86 = 160,138.54 : x
  2. Step 2: Convert to fraction form
    385,461.28/577,349.86 = 160,138.54/x
  3. Step 3: Cross multiply
    385,461.28x = 577,349.86 × 160,138.54
  4. Step 4: Simplify right side
    385,461.28x = 92,455,963,649.60
  5. Step 5: Solve for x
    x = 92,455,963,649.60/385,461.28
  6. Step 6: Final answer
    x = 239,857.98

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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.