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Finding the Fourth Proportional to 314,952.80, 472,429.20 and 285,428.30

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Solution

The fourth proportional to 314,952.80, 472,429.20 and 285,428.30 is: 428,142.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,952.80 : 472,429.20 = 285,428.30 : x
  2. Step 2: Convert to fraction form
    314,952.80/472,429.20 = 285,428.30/x
  3. Step 3: Cross multiply
    314,952.80x = 472,429.20 × 285,428.30
  4. Step 4: Simplify right side
    314,952.80x = 134,844,663,426.36
  5. Step 5: Solve for x
    x = 134,844,663,426.36/314,952.80
  6. Step 6: Final answer
    x = 428,142.45

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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.