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Finding the Fourth Proportional to 540,338.32, 810,740.76 and 290,970.64

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Solution

The fourth proportional to 540,338.32, 810,740.76 and 290,970.64 is: 436,581.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,338.32 : 810,740.76 = 290,970.64 : x
  2. Step 2: Convert to fraction form
    540,338.32/810,740.76 = 290,970.64/x
  3. Step 3: Cross multiply
    540,338.32x = 810,740.76 × 290,970.64
  4. Step 4: Simplify right side
    540,338.32x = 235,901,757,811.29
  5. Step 5: Solve for x
    x = 235,901,757,811.29/540,338.32
  6. Step 6: Final answer
    x = 436,581.58

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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.