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Finding the Fourth Proportional to 514,155.57, 771,225.09 and 140,178.57

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Solution

The fourth proportional to 514,155.57, 771,225.09 and 140,178.57 is: 210,265.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,155.57 : 771,225.09 = 140,178.57 : x
  2. Step 2: Convert to fraction form
    514,155.57/771,225.09 = 140,178.57/x
  3. Step 3: Cross multiply
    514,155.57x = 771,225.09 × 140,178.57
  4. Step 4: Simplify right side
    514,155.57x = 108,109,230,264.32
  5. Step 5: Solve for x
    x = 108,109,230,264.32/514,155.57
  6. Step 6: Final answer
    x = 210,265.60

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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.