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Finding the Fourth Proportional to 286,183.76, 429,275.64 and 99,195.26

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Solution

The fourth proportional to 286,183.76, 429,275.64 and 99,195.26 is: 148,792.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,183.76 : 429,275.64 = 99,195.26 : x
  2. Step 2: Convert to fraction form
    286,183.76/429,275.64 = 99,195.26/x
  3. Step 3: Cross multiply
    286,183.76x = 429,275.64 × 99,195.26
  4. Step 4: Simplify right side
    286,183.76x = 42,582,106,575.09
  5. Step 5: Solve for x
    x = 42,582,106,575.09/286,183.76
  6. Step 6: Final answer
    x = 148,792.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.