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Finding the Fourth Proportional to 513,265.16, 708,189.18 and 295,498.28

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Solution

The fourth proportional to 513,265.16, 708,189.18 and 295,498.28 is: 407,720.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,265.16 : 708,189.18 = 295,498.28 : x
  2. Step 2: Convert to fraction form
    513,265.16/708,189.18 = 295,498.28/x
  3. Step 3: Cross multiply
    513,265.16x = 708,189.18 × 295,498.28
  4. Step 4: Simplify right side
    513,265.16x = 209,268,684,604.61
  5. Step 5: Solve for x
    x = 209,268,684,604.61/513,265.16
  6. Step 6: Final answer
    x = 407,720.42

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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.