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Finding the Fourth Proportional to 511,165.08, 705,410.70 and 296,432.64

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Solution

The fourth proportional to 511,165.08, 705,410.70 and 296,432.64 is: 409,078.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,165.08 : 705,410.70 = 296,432.64 : x
  2. Step 2: Convert to fraction form
    511,165.08/705,410.70 = 296,432.64/x
  3. Step 3: Cross multiply
    511,165.08x = 705,410.70 × 296,432.64
  4. Step 4: Simplify right side
    511,165.08x = 209,106,756,085.25
  5. Step 5: Solve for x
    x = 209,106,756,085.25/511,165.08
  6. Step 6: Final answer
    x = 409,078.72

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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.