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Finding the Fourth Proportional to 287,976.47, 431,935.54 and 77,635.67

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Solution

The fourth proportional to 287,976.47, 431,935.54 and 77,635.67 is: 116,445.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,976.47 : 431,935.54 = 77,635.67 : x
  2. Step 2: Convert to fraction form
    287,976.47/431,935.54 = 77,635.67/x
  3. Step 3: Cross multiply
    287,976.47x = 431,935.54 × 77,635.67
  4. Step 4: Simplify right side
    287,976.47x = 33,533,602,690.94
  5. Step 5: Solve for x
    x = 33,533,602,690.94/287,976.47
  6. Step 6: Final answer
    x = 116,445.64

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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.