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Finding the Fourth Proportional to 401,547.70, 601,681.78 and 212,000.41

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Solution

The fourth proportional to 401,547.70, 601,681.78 and 212,000.41 is: 317,662.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,547.70 : 601,681.78 = 212,000.41 : x
  2. Step 2: Convert to fraction form
    401,547.70/601,681.78 = 212,000.41/x
  3. Step 3: Cross multiply
    401,547.70x = 601,681.78 × 212,000.41
  4. Step 4: Simplify right side
    401,547.70x = 127,556,784,049.53
  5. Step 5: Solve for x
    x = 127,556,784,049.53/401,547.70
  6. Step 6: Final answer
    x = 317,662.84

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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.