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Finding the Fourth Proportional to 287,443.17, 431,131.95 and 77,064.75

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Solution

The fourth proportional to 287,443.17, 431,131.95 and 77,064.75 is: 115,588.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,443.17 : 431,131.95 = 77,064.75 : x
  2. Step 2: Convert to fraction form
    287,443.17/431,131.95 = 77,064.75/x
  3. Step 3: Cross multiply
    287,443.17x = 431,131.95 × 77,064.75
  4. Step 4: Simplify right side
    287,443.17x = 33,225,075,943.76
  5. Step 5: Solve for x
    x = 33,225,075,943.76/287,443.17
  6. Step 6: Final answer
    x = 115,588.33

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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.