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Finding the Fourth Proportional to 684,922.32, 945,141.48 and 383,058

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Solution

The fourth proportional to 684,922.32, 945,141.48 and 383,058 is: 528,591.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,922.32 : 945,141.48 = 383,058 : x
  2. Step 2: Convert to fraction form
    684,922.32/945,141.48 = 383,058/x
  3. Step 3: Cross multiply
    684,922.32x = 945,141.48 × 383,058
  4. Step 4: Simplify right side
    684,922.32x = 362,044,005,045.84
  5. Step 5: Solve for x
    x = 362,044,005,045.84/684,922.32
  6. Step 6: Final answer
    x = 528,591.34

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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.