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Finding the Fourth Proportional to 528,037.75, 728,818.14 and 313,302.43

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Solution

The fourth proportional to 528,037.75, 728,818.14 and 313,302.43 is: 432,432.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,037.75 : 728,818.14 = 313,302.43 : x
  2. Step 2: Convert to fraction form
    528,037.75/728,818.14 = 313,302.43/x
  3. Step 3: Cross multiply
    528,037.75x = 728,818.14 × 313,302.43
  4. Step 4: Simplify right side
    528,037.75x = 228,340,494,290.08
  5. Step 5: Solve for x
    x = 228,340,494,290.08/528,037.75
  6. Step 6: Final answer
    x = 432,432.14

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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.