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Finding the Fourth Proportional to 406,984.50, 561,638.61 and 228,136.50

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Solution

The fourth proportional to 406,984.50, 561,638.61 and 228,136.50 is: 314,828.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,984.50 : 561,638.61 = 228,136.50 : x
  2. Step 2: Convert to fraction form
    406,984.50/561,638.61 = 228,136.50/x
  3. Step 3: Cross multiply
    406,984.50x = 561,638.61 × 228,136.50
  4. Step 4: Simplify right side
    406,984.50x = 128,130,266,750.27
  5. Step 5: Solve for x
    x = 128,130,266,750.27/406,984.50
  6. Step 6: Final answer
    x = 314,828.37

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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.