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Finding the Fourth Proportional to 650,702.88, 976,684.50 and 313,980.30

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Solution

The fourth proportional to 650,702.88, 976,684.50 and 313,980.30 is: 471,274.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,702.88 : 976,684.50 = 313,980.30 : x
  2. Step 2: Convert to fraction form
    650,702.88/976,684.50 = 313,980.30/x
  3. Step 3: Cross multiply
    650,702.88x = 976,684.50 × 313,980.30
  4. Step 4: Simplify right side
    650,702.88x = 306,659,692,315.35
  5. Step 5: Solve for x
    x = 306,659,692,315.35/650,702.88
  6. Step 6: Final answer
    x = 471,274.53

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1.5x scale

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.