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Finding the Fourth Proportional to 663,780, 916,085.52 and 409,124.64

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Solution

The fourth proportional to 663,780, 916,085.52 and 409,124.64 is: 564,634.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,780 : 916,085.52 = 409,124.64 : x
  2. Step 2: Convert to fraction form
    663,780/916,085.52 = 409,124.64/x
  3. Step 3: Cross multiply
    663,780x = 916,085.52 × 409,124.64
  4. Step 4: Simplify right side
    663,780x = 374,793,158,579.21
  5. Step 5: Solve for x
    x = 374,793,158,579.21/663,780
  6. Step 6: Final answer
    x = 564,634.61

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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.