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Finding the Fourth Proportional to 513,117.75, 708,124.38 and 286,763.25

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Solution

The fourth proportional to 513,117.75, 708,124.38 and 286,763.25 is: 395,745.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,117.75 : 708,124.38 = 286,763.25 : x
  2. Step 2: Convert to fraction form
    513,117.75/708,124.38 = 286,763.25/x
  3. Step 3: Cross multiply
    513,117.75x = 708,124.38 × 286,763.25
  4. Step 4: Simplify right side
    513,117.75x = 203,064,048,613.04
  5. Step 5: Solve for x
    x = 203,064,048,613.04/513,117.75
  6. Step 6: Final answer
    x = 395,745.52

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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.