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Finding the Fourth Proportional to 703,206.45, 970,429.55 and 380,916.54

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Solution

The fourth proportional to 703,206.45, 970,429.55 and 380,916.54 is: 525,667.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,206.45 : 970,429.55 = 380,916.54 : x
  2. Step 2: Convert to fraction form
    703,206.45/970,429.55 = 380,916.54/x
  3. Step 3: Cross multiply
    703,206.45x = 970,429.55 × 380,916.54
  4. Step 4: Simplify right side
    703,206.45x = 369,652,664,595.17
  5. Step 5: Solve for x
    x = 369,652,664,595.17/703,206.45
  6. Step 6: Final answer
    x = 525,667.34

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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.