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Finding the Fourth Proportional to 398,090.70, 597,136.05 and 319,358.70

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Solution

The fourth proportional to 398,090.70, 597,136.05 and 319,358.70 is: 479,038.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,090.70 : 597,136.05 = 319,358.70 : x
  2. Step 2: Convert to fraction form
    398,090.70/597,136.05 = 319,358.70/x
  3. Step 3: Cross multiply
    398,090.70x = 597,136.05 × 319,358.70
  4. Step 4: Simplify right side
    398,090.70x = 190,700,592,651.14
  5. Step 5: Solve for x
    x = 190,700,592,651.14/398,090.70
  6. Step 6: Final answer
    x = 479,038.05

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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.