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Finding the Fourth Proportional to 540,057.16, 745,322.48 and 298,360.86

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Solution

The fourth proportional to 540,057.16, 745,322.48 and 298,360.86 is: 411,762.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,057.16 : 745,322.48 = 298,360.86 : x
  2. Step 2: Convert to fraction form
    540,057.16/745,322.48 = 298,360.86/x
  3. Step 3: Cross multiply
    540,057.16x = 745,322.48 × 298,360.86
  4. Step 4: Simplify right side
    540,057.16x = 222,375,056,110.13
  5. Step 5: Solve for x
    x = 222,375,056,110.13/540,057.16
  6. Step 6: Final answer
    x = 411,762.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.