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Finding the Fourth Proportional to 515,165.42, 710,902.92 and 285,704.72

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Solution

The fourth proportional to 515,165.42, 710,902.92 and 285,704.72 is: 394,258.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,165.42 : 710,902.92 = 285,704.72 : x
  2. Step 2: Convert to fraction form
    515,165.42/710,902.92 = 285,704.72/x
  3. Step 3: Cross multiply
    515,165.42x = 710,902.92 × 285,704.72
  4. Step 4: Simplify right side
    515,165.42x = 203,108,319,705.78
  5. Step 5: Solve for x
    x = 203,108,319,705.78/515,165.42
  6. Step 6: Final answer
    x = 394,258.45

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1.5x scale

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.