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Finding the Fourth Proportional to 540,056.16, 745,321.10 and 298,359.86

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Solution

The fourth proportional to 540,056.16, 745,321.10 and 298,359.86 is: 411,760.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,056.16 : 745,321.10 = 298,359.86 : x
  2. Step 2: Convert to fraction form
    540,056.16/745,321.10 = 298,359.86/x
  3. Step 3: Cross multiply
    540,056.16x = 745,321.10 × 298,359.86
  4. Step 4: Simplify right side
    540,056.16x = 222,373,893,832.64
  5. Step 5: Solve for x
    x = 222,373,893,832.64/540,056.16
  6. Step 6: Final answer
    x = 411,760.68

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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.