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Finding the Fourth Proportional to 528,416.76, 729,215.16 and 302,067.12

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Solution

The fourth proportional to 528,416.76, 729,215.16 and 302,067.12 is: 416,852.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,416.76 : 729,215.16 = 302,067.12 : x
  2. Step 2: Convert to fraction form
    528,416.76/729,215.16 = 302,067.12/x
  3. Step 3: Cross multiply
    528,416.76x = 729,215.16 × 302,067.12
  4. Step 4: Simplify right side
    528,416.76x = 220,271,923,241.54
  5. Step 5: Solve for x
    x = 220,271,923,241.54/528,416.76
  6. Step 6: Final answer
    x = 416,852.64

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Double scale
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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.