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Finding the Fourth Proportional to 513,148.96, 708,143.79 and 286,794.46

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Solution

The fourth proportional to 513,148.96, 708,143.79 and 286,794.46 is: 395,775.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,148.96 : 708,143.79 = 286,794.46 : x
  2. Step 2: Convert to fraction form
    513,148.96/708,143.79 = 286,794.46/x
  3. Step 3: Cross multiply
    513,148.96x = 708,143.79 × 286,794.46
  4. Step 4: Simplify right side
    513,148.96x = 203,091,714,421.43
  5. Step 5: Solve for x
    x = 203,091,714,421.43/513,148.96
  6. Step 6: Final answer
    x = 395,775.36

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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.