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Finding the Fourth Proportional to 513,195.52, 708,225.28 and 286,835.20

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Solution

The fourth proportional to 513,195.52, 708,225.28 and 286,835.20 is: 395,841.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,195.52 : 708,225.28 = 286,835.20 : x
  2. Step 2: Convert to fraction form
    513,195.52/708,225.28 = 286,835.20/x
  3. Step 3: Cross multiply
    513,195.52x = 708,225.28 × 286,835.20
  4. Step 4: Simplify right side
    513,195.52x = 203,143,939,833.86
  5. Step 5: Solve for x
    x = 203,143,939,833.86/513,195.52
  6. Step 6: Final answer
    x = 395,841.22

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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.