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Finding the Fourth Proportional to 398,064.40, 595,541.40 and 258,096.40

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Solution

The fourth proportional to 398,064.40, 595,541.40 and 258,096.40 is: 386,136.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,064.40 : 595,541.40 = 258,096.40 : x
  2. Step 2: Convert to fraction form
    398,064.40/595,541.40 = 258,096.40/x
  3. Step 3: Cross multiply
    398,064.40x = 595,541.40 × 258,096.40
  4. Step 4: Simplify right side
    398,064.40x = 153,707,091,390.96
  5. Step 5: Solve for x
    x = 153,707,091,390.96/398,064.40
  6. Step 6: Final answer
    x = 386,136.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.