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Finding the Fourth Proportional to 589,144.32, 812,760.48 and 398,088

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Solution

The fourth proportional to 589,144.32, 812,760.48 and 398,088 is: 549,186.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,144.32 : 812,760.48 = 398,088 : x
  2. Step 2: Convert to fraction form
    589,144.32/812,760.48 = 398,088/x
  3. Step 3: Cross multiply
    589,144.32x = 812,760.48 × 398,088
  4. Step 4: Simplify right side
    589,144.32x = 323,550,193,962.24
  5. Step 5: Solve for x
    x = 323,550,193,962.24/589,144.32
  6. Step 6: Final answer
    x = 549,186.65

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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.