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Finding the Fourth Proportional to 553,087.29, 763,274.69 and 311,378.45

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Solution

The fourth proportional to 553,087.29, 763,274.69 and 311,378.45 is: 429,710.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,087.29 : 763,274.69 = 311,378.45 : x
  2. Step 2: Convert to fraction form
    553,087.29/763,274.69 = 311,378.45/x
  3. Step 3: Cross multiply
    553,087.29x = 763,274.69 × 311,378.45
  4. Step 4: Simplify right side
    553,087.29x = 237,667,293,882.47
  5. Step 5: Solve for x
    x = 237,667,293,882.47/553,087.29
  6. Step 6: Final answer
    x = 429,710.28

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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.