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Finding the Fourth Proportional to 310,011.38, 427,820.38 and 299,284.10

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Solution

The fourth proportional to 310,011.38, 427,820.38 and 299,284.10 is: 413,016.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,011.38 : 427,820.38 = 299,284.10 : x
  2. Step 2: Convert to fraction form
    310,011.38/427,820.38 = 299,284.10/x
  3. Step 3: Cross multiply
    310,011.38x = 427,820.38 × 299,284.10
  4. Step 4: Simplify right side
    310,011.38x = 128,039,837,389.96
  5. Step 5: Solve for x
    x = 128,039,837,389.96/310,011.38
  6. Step 6: Final answer
    x = 413,016.57

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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.