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Finding the Fourth Proportional to 287,803.36, 431,671.83 and 77,424.76

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Solution

The fourth proportional to 287,803.36, 431,671.83 and 77,424.76 is: 116,128.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,803.36 : 431,671.83 = 77,424.76 : x
  2. Step 2: Convert to fraction form
    287,803.36/431,671.83 = 77,424.76/x
  3. Step 3: Cross multiply
    287,803.36x = 431,671.83 × 77,424.76
  4. Step 4: Simplify right side
    287,803.36x = 33,422,087,836.51
  5. Step 5: Solve for x
    x = 33,422,087,836.51/287,803.36
  6. Step 6: Final answer
    x = 116,128.21

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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.