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Finding the Fourth Proportional to 286,382.64, 429,585.36 and 76,022.40

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Solution

The fourth proportional to 286,382.64, 429,585.36 and 76,022.40 is: 114,036.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,382.64 : 429,585.36 = 76,022.40 : x
  2. Step 2: Convert to fraction form
    286,382.64/429,585.36 = 76,022.40/x
  3. Step 3: Cross multiply
    286,382.64x = 429,585.36 × 76,022.40
  4. Step 4: Simplify right side
    286,382.64x = 32,658,110,072.06
  5. Step 5: Solve for x
    x = 32,658,110,072.06/286,382.64
  6. Step 6: Final answer
    x = 114,036.63

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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.