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Finding the Fourth Proportional to 412,560, 569,332.80 and 233,712

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Solution

The fourth proportional to 412,560, 569,332.80 and 233,712 is: 322,522.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,560 : 569,332.80 = 233,712 : x
  2. Step 2: Convert to fraction form
    412,560/569,332.80 = 233,712/x
  3. Step 3: Cross multiply
    412,560x = 569,332.80 × 233,712
  4. Step 4: Simplify right side
    412,560x = 133,059,907,353.60
  5. Step 5: Solve for x
    x = 133,059,907,353.60/412,560
  6. Step 6: Final answer
    x = 322,522.56

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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.