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Finding the Fourth Proportional to 415,271.30, 623,198.55 and 178,783.70

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Solution

The fourth proportional to 415,271.30, 623,198.55 and 178,783.70 is: 268,301.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,271.30 : 623,198.55 = 178,783.70 : x
  2. Step 2: Convert to fraction form
    415,271.30/623,198.55 = 178,783.70/x
  3. Step 3: Cross multiply
    415,271.30x = 623,198.55 × 178,783.70
  4. Step 4: Simplify right side
    415,271.30x = 111,417,742,603.64
  5. Step 5: Solve for x
    x = 111,417,742,603.64/415,271.30
  6. Step 6: Final answer
    x = 268,301.09

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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.