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Finding the Fourth Proportional to 283,055.96, 390,617.20 and 155,728.82

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Solution

The fourth proportional to 283,055.96, 390,617.20 and 155,728.82 is: 214,905.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,055.96 : 390,617.20 = 155,728.82 : x
  2. Step 2: Convert to fraction form
    283,055.96/390,617.20 = 155,728.82/x
  3. Step 3: Cross multiply
    283,055.96x = 390,617.20 × 155,728.82
  4. Step 4: Simplify right side
    283,055.96x = 60,830,355,627.70
  5. Step 5: Solve for x
    x = 60,830,355,627.70/283,055.96
  6. Step 6: Final answer
    x = 214,905.76

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1.5x scale

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.