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Finding the Fourth Proportional to 513,077.22, 708,050.97 and 286,737.30

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Solution

The fourth proportional to 513,077.22, 708,050.97 and 286,737.30 is: 395,699.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,077.22 : 708,050.97 = 286,737.30 : x
  2. Step 2: Convert to fraction form
    513,077.22/708,050.97 = 286,737.30/x
  3. Step 3: Cross multiply
    513,077.22x = 708,050.97 × 286,737.30
  4. Step 4: Simplify right side
    513,077.22x = 203,024,623,400.18
  5. Step 5: Solve for x
    x = 203,024,623,400.18/513,077.22
  6. Step 6: Final answer
    x = 395,699.94

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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.