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Finding the Fourth Proportional to 646,409.64, 969,164.76 and 286,385.16

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Solution

The fourth proportional to 646,409.64, 969,164.76 and 286,385.16 is: 429,378.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,409.64 : 969,164.76 = 286,385.16 : x
  2. Step 2: Convert to fraction form
    646,409.64/969,164.76 = 286,385.16/x
  3. Step 3: Cross multiply
    646,409.64x = 969,164.76 × 286,385.16
  4. Step 4: Simplify right side
    646,409.64x = 277,554,404,858.96
  5. Step 5: Solve for x
    x = 277,554,404,858.96/646,409.64
  6. Step 6: Final answer
    x = 429,378.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.