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Finding the Fourth Proportional to 514,748.70, 710,379.42 and 285,330.36

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Solution

The fourth proportional to 514,748.70, 710,379.42 and 285,330.36 is: 393,770.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,748.70 : 710,379.42 = 285,330.36 : x
  2. Step 2: Convert to fraction form
    514,748.70/710,379.42 = 285,330.36/x
  3. Step 3: Cross multiply
    514,748.70x = 710,379.42 × 285,330.36
  4. Step 4: Simplify right side
    514,748.70x = 202,692,815,645.19
  5. Step 5: Solve for x
    x = 202,692,815,645.19/514,748.70
  6. Step 6: Final answer
    x = 393,770.43

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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.