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Finding the Fourth Proportional to 561,523.66, 774,905.76 and 316,512.24

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Solution

The fourth proportional to 561,523.66, 774,905.76 and 316,512.24 is: 436,788.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,523.66 : 774,905.76 = 316,512.24 : x
  2. Step 2: Convert to fraction form
    561,523.66/774,905.76 = 316,512.24/x
  3. Step 3: Cross multiply
    561,523.66x = 774,905.76 × 316,512.24
  4. Step 4: Simplify right side
    561,523.66x = 245,267,157,886.50
  5. Step 5: Solve for x
    x = 245,267,157,886.50/561,523.66
  6. Step 6: Final answer
    x = 436,788.64

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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.