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Finding the Fourth Proportional to 287,977.72, 431,937.42 and 77,636.92

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Solution

The fourth proportional to 287,977.72, 431,937.42 and 77,636.92 is: 116,447.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,977.72 : 431,937.42 = 77,636.92 : x
  2. Step 2: Convert to fraction form
    287,977.72/431,937.42 = 77,636.92/x
  3. Step 3: Cross multiply
    287,977.72x = 431,937.42 × 77,636.92
  4. Step 4: Simplify right side
    287,977.72x = 33,534,290,533.36
  5. Step 5: Solve for x
    x = 33,534,290,533.36/287,977.72
  6. Step 6: Final answer
    x = 116,447.52

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1.5x scale

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.