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Finding the Fourth Proportional to 553,956.40, 831,590.70 and 314,261.20

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Solution

The fourth proportional to 553,956.40, 831,590.70 and 314,261.20 is: 471,764.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,956.40 : 831,590.70 = 314,261.20 : x
  2. Step 2: Convert to fraction form
    553,956.40/831,590.70 = 314,261.20/x
  3. Step 3: Cross multiply
    553,956.40x = 831,590.70 × 314,261.20
  4. Step 4: Simplify right side
    553,956.40x = 261,336,691,290.84
  5. Step 5: Solve for x
    x = 261,336,691,290.84/553,956.40
  6. Step 6: Final answer
    x = 471,764.01

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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.