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Finding the Fourth Proportional to 513,171.96, 708,165.06 and 286,838.52

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Solution

The fourth proportional to 513,171.96, 708,165.06 and 286,838.52 is: 395,830.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,171.96 : 708,165.06 = 286,838.52 : x
  2. Step 2: Convert to fraction form
    513,171.96/708,165.06 = 286,838.52/x
  3. Step 3: Cross multiply
    513,171.96x = 708,165.06 × 286,838.52
  4. Step 4: Simplify right side
    513,171.96x = 203,129,017,726.11
  5. Step 5: Solve for x
    x = 203,129,017,726.11/513,171.96
  6. Step 6: Final answer
    x = 395,830.31

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1.5x scale

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.