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Finding the Fourth Proportional to 386,203.60, 578,430.60 and 228,739.60

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Solution

The fourth proportional to 386,203.60, 578,430.60 and 228,739.60 is: 342,591.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,203.60 : 578,430.60 = 228,739.60 : x
  2. Step 2: Convert to fraction form
    386,203.60/578,430.60 = 228,739.60/x
  3. Step 3: Cross multiply
    386,203.60x = 578,430.60 × 228,739.60
  4. Step 4: Simplify right side
    386,203.60x = 132,309,984,071.76
  5. Step 5: Solve for x
    x = 132,309,984,071.76/386,203.60
  6. Step 6: Final answer
    x = 342,591.28

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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.