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Finding the Fourth Proportional to 513,332.00, 708,402.60 and 286,977.50

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Solution

The fourth proportional to 513,332.00, 708,402.60 and 286,977.50 is: 396,031.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,332.00 : 708,402.60 = 286,977.50 : x
  2. Step 2: Convert to fraction form
    513,332.00/708,402.60 = 286,977.50/x
  3. Step 3: Cross multiply
    513,332.00x = 708,402.60 × 286,977.50
  4. Step 4: Simplify right side
    513,332.00x = 203,295,603,599.49
  5. Step 5: Solve for x
    x = 203,295,603,599.49/513,332.00
  6. Step 6: Final answer
    x = 396,031.43

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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.