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Finding the Fourth Proportional to 589,330, 813,275.40 and 321,058

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Solution

The fourth proportional to 589,330, 813,275.40 and 321,058 is: 443,060.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,330 : 813,275.40 = 321,058 : x
  2. Step 2: Convert to fraction form
    589,330/813,275.40 = 321,058/x
  3. Step 3: Cross multiply
    589,330x = 813,275.40 × 321,058
  4. Step 4: Simplify right side
    589,330x = 261,108,573,373.20
  5. Step 5: Solve for x
    x = 261,108,573,373.20/589,330
  6. Step 6: Final answer
    x = 443,060.04

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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.