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Finding the Fourth Proportional to 283,136.40, 390,731.80 and 155,809.20

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Solution

The fourth proportional to 283,136.40, 390,731.80 and 155,809.20 is: 215,018.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,136.40 : 390,731.80 = 155,809.20 : x
  2. Step 2: Convert to fraction form
    283,136.40/390,731.80 = 155,809.20/x
  3. Step 3: Cross multiply
    283,136.40x = 390,731.80 × 155,809.20
  4. Step 4: Simplify right side
    283,136.40x = 60,879,609,172.56
  5. Step 5: Solve for x
    x = 60,879,609,172.56/283,136.40
  6. Step 6: Final answer
    x = 215,018.66

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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.