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Finding the Fourth Proportional to 540,585.18, 745,950.42 and 298,828.80

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Solution

The fourth proportional to 540,585.18, 745,950.42 and 298,828.80 is: 412,352.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,585.18 : 745,950.42 = 298,828.80 : x
  2. Step 2: Convert to fraction form
    540,585.18/745,950.42 = 298,828.80/x
  3. Step 3: Cross multiply
    540,585.18x = 745,950.42 × 298,828.80
  4. Step 4: Simplify right side
    540,585.18x = 222,911,468,868.10
  5. Step 5: Solve for x
    x = 222,911,468,868.10/540,585.18
  6. Step 6: Final answer
    x = 412,352.16

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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.