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Finding the Fourth Proportional to 570,223, 786,895.56 and 312,099.88

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Solution

The fourth proportional to 570,223, 786,895.56 and 312,099.88 is: 430,691.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,223 : 786,895.56 = 312,099.88 : x
  2. Step 2: Convert to fraction form
    570,223/786,895.56 = 312,099.88/x
  3. Step 3: Cross multiply
    570,223x = 786,895.56 × 312,099.88
  4. Step 4: Simplify right side
    570,223x = 245,590,009,848.53
  5. Step 5: Solve for x
    x = 245,590,009,848.53/570,223
  6. Step 6: Final answer
    x = 430,691.17

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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.