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Finding the Fourth Proportional to 406,100, 608,484.17 and 287,558.52

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Solution

The fourth proportional to 406,100, 608,484.17 and 287,558.52 is: 430,866.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,100 : 608,484.17 = 287,558.52 : x
  2. Step 2: Convert to fraction form
    406,100/608,484.17 = 287,558.52/x
  3. Step 3: Cross multiply
    406,100x = 608,484.17 × 287,558.52
  4. Step 4: Simplify right side
    406,100x = 174,974,807,368.63
  5. Step 5: Solve for x
    x = 174,974,807,368.63/406,100
  6. Step 6: Final answer
    x = 430,866.31

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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.