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Finding the Fourth Proportional to 287,663.20, 402,203.60 and 287,663.20

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Solution

The fourth proportional to 287,663.20, 402,203.60 and 287,663.20 is: 402,203.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,663.20 : 402,203.60 = 287,663.20 : x
  2. Step 2: Convert to fraction form
    287,663.20/402,203.60 = 287,663.20/x
  3. Step 3: Cross multiply
    287,663.20x = 402,203.60 × 287,663.20
  4. Step 4: Simplify right side
    287,663.20x = 115,699,174,627.52
  5. Step 5: Solve for x
    x = 115,699,174,627.52/287,663.20
  6. Step 6: Final answer
    x = 402,203.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.