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Finding the Fourth Proportional to 283,047.40, 390,591.30 and 155,719.72

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Solution

The fourth proportional to 283,047.40, 390,591.30 and 155,719.72 is: 214,885.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,047.40 : 390,591.30 = 155,719.72 : x
  2. Step 2: Convert to fraction form
    283,047.40/390,591.30 = 155,719.72/x
  3. Step 3: Cross multiply
    283,047.40x = 390,591.30 × 155,719.72
  4. Step 4: Simplify right side
    283,047.40x = 60,822,767,870.44
  5. Step 5: Solve for x
    x = 60,822,767,870.44/283,047.40
  6. Step 6: Final answer
    x = 214,885.45

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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.