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Finding the Fourth Proportional to 287,645.04, 431,467.22 and 77,282.98

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Solution

The fourth proportional to 287,645.04, 431,467.22 and 77,282.98 is: 115,924.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,645.04 : 431,467.22 = 77,282.98 : x
  2. Step 2: Convert to fraction form
    287,645.04/431,467.22 = 77,282.98/x
  3. Step 3: Cross multiply
    287,645.04x = 431,467.22 × 77,282.98
  4. Step 4: Simplify right side
    287,645.04x = 33,345,072,533.92
  5. Step 5: Solve for x
    x = 33,345,072,533.92/287,645.04
  6. Step 6: Final answer
    x = 115,924.38

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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.