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Finding the Fourth Proportional to 702,423.32, 969,345.89 and 380,135.75

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Solution

The fourth proportional to 702,423.32, 969,345.89 and 380,135.75 is: 524,588.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,423.32 : 969,345.89 = 380,135.75 : x
  2. Step 2: Convert to fraction form
    702,423.32/969,345.89 = 380,135.75/x
  3. Step 3: Cross multiply
    702,423.32x = 969,345.89 × 380,135.75
  4. Step 4: Simplify right side
    702,423.32x = 368,483,030,278.27
  5. Step 5: Solve for x
    x = 368,483,030,278.27/702,423.32
  6. Step 6: Final answer
    x = 524,588.27

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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.