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Finding the Fourth Proportional to 515,212.02, 710,956.98 and 285,747.66

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Solution

The fourth proportional to 515,212.02, 710,956.98 and 285,747.66 is: 394,312.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,212.02 : 710,956.98 = 285,747.66 : x
  2. Step 2: Convert to fraction form
    515,212.02/710,956.98 = 285,747.66/x
  3. Step 3: Cross multiply
    515,212.02x = 710,956.98 × 285,747.66
  4. Step 4: Simplify right side
    515,212.02x = 203,154,293,395.67
  5. Step 5: Solve for x
    x = 203,154,293,395.67/515,212.02
  6. Step 6: Final answer
    x = 394,312.02

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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.