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Finding the Fourth Proportional to 515,751.06, 711,737.64 and 286,311.72

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Solution

The fourth proportional to 515,751.06, 711,737.64 and 286,311.72 is: 395,110.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,751.06 : 711,737.64 = 286,311.72 : x
  2. Step 2: Convert to fraction form
    515,751.06/711,737.64 = 286,311.72/x
  3. Step 3: Cross multiply
    515,751.06x = 711,737.64 × 286,311.72
  4. Step 4: Simplify right side
    515,751.06x = 203,778,827,897.14
  5. Step 5: Solve for x
    x = 203,778,827,897.14/515,751.06
  6. Step 6: Final answer
    x = 395,110.83

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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.