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Finding the Fourth Proportional to 515,930.70, 773,239.95 and 459,506.10

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Solution

The fourth proportional to 515,930.70, 773,239.95 and 459,506.10 is: 688,674.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,930.70 : 773,239.95 = 459,506.10 : x
  2. Step 2: Convert to fraction form
    515,930.70/773,239.95 = 459,506.10/x
  3. Step 3: Cross multiply
    515,930.70x = 773,239.95 × 459,506.10
  4. Step 4: Simplify right side
    515,930.70x = 355,308,473,788.70
  5. Step 5: Solve for x
    x = 355,308,473,788.70/515,930.70
  6. Step 6: Final answer
    x = 688,674.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.