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Finding the Fourth Proportional to 540,153.83, 810,403.76 and 378,216.50

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Solution

The fourth proportional to 540,153.83, 810,403.76 and 378,216.50 is: 567,445.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,153.83 : 810,403.76 = 378,216.50 : x
  2. Step 2: Convert to fraction form
    540,153.83/810,403.76 = 378,216.50/x
  3. Step 3: Cross multiply
    540,153.83x = 810,403.76 × 378,216.50
  4. Step 4: Simplify right side
    540,153.83x = 306,508,067,750.94
  5. Step 5: Solve for x
    x = 306,508,067,750.94/540,153.83
  6. Step 6: Final answer
    x = 567,445.89

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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.