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Finding the Fourth Proportional to 385,153.16, 577,866.49 and 171,901.67

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Solution

The fourth proportional to 385,153.16, 577,866.49 and 171,901.67 is: 257,913.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,153.16 : 577,866.49 = 171,901.67 : x
  2. Step 2: Convert to fraction form
    385,153.16/577,866.49 = 171,901.67/x
  3. Step 3: Cross multiply
    385,153.16x = 577,866.49 × 171,901.67
  4. Step 4: Simplify right side
    385,153.16x = 99,336,211,348.95
  5. Step 5: Solve for x
    x = 99,336,211,348.95/385,153.16
  6. Step 6: Final answer
    x = 257,913.53

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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.