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Finding the Fourth Proportional to 513,076.17, 708,046.08 and 286,721.67

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Solution

The fourth proportional to 513,076.17, 708,046.08 and 286,721.67 is: 395,676.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,076.17 : 708,046.08 = 286,721.67 : x
  2. Step 2: Convert to fraction form
    513,076.17/708,046.08 = 286,721.67/x
  3. Step 3: Cross multiply
    513,076.17x = 708,046.08 × 286,721.67
  4. Step 4: Simplify right side
    513,076.17x = 203,012,154,494.55
  5. Step 5: Solve for x
    x = 203,012,154,494.55/513,076.17
  6. Step 6: Final answer
    x = 395,676.44

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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.