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Finding the Fourth Proportional to 540,311.76, 810,467.64 and 207,810

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Solution

The fourth proportional to 540,311.76, 810,467.64 and 207,810 is: 311,715

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,311.76 : 810,467.64 = 207,810 : x
  2. Step 2: Convert to fraction form
    540,311.76/810,467.64 = 207,810/x
  3. Step 3: Cross multiply
    540,311.76x = 810,467.64 × 207,810
  4. Step 4: Simplify right side
    540,311.76x = 168,423,280,268.40
  5. Step 5: Solve for x
    x = 168,423,280,268.40/540,311.76
  6. Step 6: Final answer
    x = 311,715

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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.