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Finding the Fourth Proportional to 519,175.85, 716,462.82 and 286,602.91

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Solution

The fourth proportional to 519,175.85, 716,462.82 and 286,602.91 is: 395,512.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,175.85 : 716,462.82 = 286,602.91 : x
  2. Step 2: Convert to fraction form
    519,175.85/716,462.82 = 286,602.91/x
  3. Step 3: Cross multiply
    519,175.85x = 716,462.82 × 286,602.91
  4. Step 4: Simplify right side
    519,175.85x = 205,340,327,327.65
  5. Step 5: Solve for x
    x = 205,340,327,327.65/519,175.85
  6. Step 6: Final answer
    x = 395,512.10

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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.