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Finding the Fourth Proportional to 528,194.46, 728,898.39 and 298,747.74

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Solution

The fourth proportional to 528,194.46, 728,898.39 and 298,747.74 is: 412,266.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,194.46 : 728,898.39 = 298,747.74 : x
  2. Step 2: Convert to fraction form
    528,194.46/728,898.39 = 298,747.74/x
  3. Step 3: Cross multiply
    528,194.46x = 728,898.39 × 298,747.74
  4. Step 4: Simplify right side
    528,194.46x = 217,756,746,702.14
  5. Step 5: Solve for x
    x = 217,756,746,702.14/528,194.46
  6. Step 6: Final answer
    x = 412,266.25

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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.