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Finding the Fourth Proportional to 406,971.52, 610,457.28 and 185,200

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Solution

The fourth proportional to 406,971.52, 610,457.28 and 185,200 is: 277,800

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,971.52 : 610,457.28 = 185,200 : x
  2. Step 2: Convert to fraction form
    406,971.52/610,457.28 = 185,200/x
  3. Step 3: Cross multiply
    406,971.52x = 610,457.28 × 185,200
  4. Step 4: Simplify right side
    406,971.52x = 113,056,688,256
  5. Step 5: Solve for x
    x = 113,056,688,256/406,971.52
  6. Step 6: Final answer
    x = 277,800

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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.