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Finding the Fourth Proportional to 540,322.56, 810,484.08 and 140,962.80

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Solution

The fourth proportional to 540,322.56, 810,484.08 and 140,962.80 is: 211,444.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,322.56 : 810,484.08 = 140,962.80 : x
  2. Step 2: Convert to fraction form
    540,322.56/810,484.08 = 140,962.80/x
  3. Step 3: Cross multiply
    540,322.56x = 810,484.08 × 140,962.80
  4. Step 4: Simplify right side
    540,322.56x = 114,248,105,272.22
  5. Step 5: Solve for x
    x = 114,248,105,272.22/540,322.56
  6. Step 6: Final answer
    x = 211,444.26

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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.