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Finding the Fourth Proportional to 540,109.80, 745,366.56 and 298,407.96

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Solution

The fourth proportional to 540,109.80, 745,366.56 and 298,407.96 is: 411,811.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,109.80 : 745,366.56 = 298,407.96 : x
  2. Step 2: Convert to fraction form
    540,109.80/745,366.56 = 298,407.96/x
  3. Step 3: Cross multiply
    540,109.80x = 745,366.56 × 298,407.96
  4. Step 4: Simplify right side
    540,109.80x = 222,423,314,621.82
  5. Step 5: Solve for x
    x = 222,423,314,621.82/540,109.80
  6. Step 6: Final answer
    x = 411,811.29

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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.