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Finding the Fourth Proportional to 620,523, 929,923.40 and 282,738.16

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Solution

The fourth proportional to 620,523, 929,923.40 and 282,738.16 is: 423,714.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,523 : 929,923.40 = 282,738.16 : x
  2. Step 2: Convert to fraction form
    620,523/929,923.40 = 282,738.16/x
  3. Step 3: Cross multiply
    620,523x = 929,923.40 × 282,738.16
  4. Step 4: Simplify right side
    620,523x = 262,924,831,056.94
  5. Step 5: Solve for x
    x = 262,924,831,056.94/620,523
  6. Step 6: Final answer
    x = 423,714.88

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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.