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Finding the Fourth Proportional to 513,094.96, 708,009.72 and 283,621.25

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Solution

The fourth proportional to 513,094.96, 708,009.72 and 283,621.25 is: 391,363.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,094.96 : 708,009.72 = 283,621.25 : x
  2. Step 2: Convert to fraction form
    513,094.96/708,009.72 = 283,621.25/x
  3. Step 3: Cross multiply
    513,094.96x = 708,009.72 × 283,621.25
  4. Step 4: Simplify right side
    513,094.96x = 200,806,601,798.55
  5. Step 5: Solve for x
    x = 200,806,601,798.55/513,094.96
  6. Step 6: Final answer
    x = 391,363.43

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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.