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Finding the Fourth Proportional to 540,657.88, 810,901.62 and 180,826

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Solution

The fourth proportional to 540,657.88, 810,901.62 and 180,826 is: 271,210.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,657.88 : 810,901.62 = 180,826 : x
  2. Step 2: Convert to fraction form
    540,657.88/810,901.62 = 180,826/x
  3. Step 3: Cross multiply
    540,657.88x = 810,901.62 × 180,826
  4. Step 4: Simplify right side
    540,657.88x = 146,632,096,338.12
  5. Step 5: Solve for x
    x = 146,632,096,338.12/540,657.88
  6. Step 6: Final answer
    x = 271,210.50

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1.5x scale

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.