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Finding the Fourth Proportional to 578,327.52, 864,141.72 and 417,638.64

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Solution

The fourth proportional to 578,327.52, 864,141.72 and 417,638.64 is: 624,039.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,327.52 : 864,141.72 = 417,638.64 : x
  2. Step 2: Convert to fraction form
    578,327.52/864,141.72 = 417,638.64/x
  3. Step 3: Cross multiply
    578,327.52x = 864,141.72 × 417,638.64
  4. Step 4: Simplify right side
    578,327.52x = 360,898,972,708.06
  5. Step 5: Solve for x
    x = 360,898,972,708.06/578,327.52
  6. Step 6: Final answer
    x = 624,039.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.