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Finding the Fourth Proportional to 385,155.16, 577,869.49 and 171,903.67

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Solution

The fourth proportional to 385,155.16, 577,869.49 and 171,903.67 is: 257,916.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,155.16 : 577,869.49 = 171,903.67 : x
  2. Step 2: Convert to fraction form
    385,155.16/577,869.49 = 171,903.67/x
  3. Step 3: Cross multiply
    385,155.16x = 577,869.49 × 171,903.67
  4. Step 4: Simplify right side
    385,155.16x = 99,337,886,112.03
  5. Step 5: Solve for x
    x = 99,337,886,112.03/385,155.16
  6. Step 6: Final answer
    x = 257,916.54

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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.