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Finding the Fourth Proportional to 645,902.82, 890,840.97 and 419,621.22

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Solution

The fourth proportional to 645,902.82, 890,840.97 and 419,621.22 is: 578,749.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,902.82 : 890,840.97 = 419,621.22 : x
  2. Step 2: Convert to fraction form
    645,902.82/890,840.97 = 419,621.22/x
  3. Step 3: Cross multiply
    645,902.82x = 890,840.97 × 419,621.22
  4. Step 4: Simplify right side
    645,902.82x = 373,815,774,657.38
  5. Step 5: Solve for x
    x = 373,815,774,657.38/645,902.82
  6. Step 6: Final answer
    x = 578,749.25

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Double scale
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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.