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Finding the Fourth Proportional to 411,243.40, 616,865.10 and 411,243.40

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Solution

The fourth proportional to 411,243.40, 616,865.10 and 411,243.40 is: 616,865.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,243.40 : 616,865.10 = 411,243.40 : x
  2. Step 2: Convert to fraction form
    411,243.40/616,865.10 = 411,243.40/x
  3. Step 3: Cross multiply
    411,243.40x = 616,865.10 × 411,243.40
  4. Step 4: Simplify right side
    411,243.40x = 253,681,701,065.34
  5. Step 5: Solve for x
    x = 253,681,701,065.34/411,243.40
  6. Step 6: Final answer
    x = 616,865.10

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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.