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Finding the Fourth Proportional to 702,857.28, 969,904.62 and 412,429.74

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Solution

The fourth proportional to 702,857.28, 969,904.62 and 412,429.74 is: 569,130.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,857.28 : 969,904.62 = 412,429.74 : x
  2. Step 2: Convert to fraction form
    702,857.28/969,904.62 = 412,429.74/x
  3. Step 3: Cross multiply
    702,857.28x = 969,904.62 × 412,429.74
  4. Step 4: Simplify right side
    702,857.28x = 400,017,510,251.40
  5. Step 5: Solve for x
    x = 400,017,510,251.40/702,857.28
  6. Step 6: Final answer
    x = 569,130.49

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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.