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Finding the Fourth Proportional to 301,985.60, 452,976.72 and 77,345.60

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Solution

The fourth proportional to 301,985.60, 452,976.72 and 77,345.60 is: 116,017.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,985.60 : 452,976.72 = 77,345.60 : x
  2. Step 2: Convert to fraction form
    301,985.60/452,976.72 = 77,345.60/x
  3. Step 3: Cross multiply
    301,985.60x = 452,976.72 × 77,345.60
  4. Step 4: Simplify right side
    301,985.60x = 35,035,756,194.43
  5. Step 5: Solve for x
    x = 35,035,756,194.43/301,985.60
  6. Step 6: Final answer
    x = 116,017.97

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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.