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Finding the Fourth Proportional to 431,164.30, 646,746.45 and 411,810.70

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Solution

The fourth proportional to 431,164.30, 646,746.45 and 411,810.70 is: 617,716.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,164.30 : 646,746.45 = 411,810.70 : x
  2. Step 2: Convert to fraction form
    431,164.30/646,746.45 = 411,810.70/x
  3. Step 3: Cross multiply
    431,164.30x = 646,746.45 × 411,810.70
  4. Step 4: Simplify right side
    431,164.30x = 266,337,108,297.02
  5. Step 5: Solve for x
    x = 266,337,108,297.02/431,164.30
  6. Step 6: Final answer
    x = 617,716.05

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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.