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Finding the Fourth Proportional to 385,002.10, 577,492.35 and 174,639.70

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Solution

The fourth proportional to 385,002.10, 577,492.35 and 174,639.70 is: 261,954.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,002.10 : 577,492.35 = 174,639.70 : x
  2. Step 2: Convert to fraction form
    385,002.10/577,492.35 = 174,639.70/x
  3. Step 3: Cross multiply
    385,002.10x = 577,492.35 × 174,639.70
  4. Step 4: Simplify right side
    385,002.10x = 100,853,090,756.30
  5. Step 5: Solve for x
    x = 100,853,090,756.30/385,002.10
  6. Step 6: Final answer
    x = 261,954.65

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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.