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Finding the Fourth Proportional to 876,420, 1,209,459.69 and 474,012

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Solution

The fourth proportional to 876,420, 1,209,459.69 and 474,012 is: 654,136.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    876,420 : 1,209,459.69 = 474,012 : x
  2. Step 2: Convert to fraction form
    876,420/1,209,459.69 = 474,012/x
  3. Step 3: Cross multiply
    876,420x = 1,209,459.69 × 474,012
  4. Step 4: Simplify right side
    876,420x = 573,298,406,576.28
  5. Step 5: Solve for x
    x = 573,298,406,576.28/876,420
  6. Step 6: Final answer
    x = 654,136.61

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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.