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Finding the Fourth Proportional to 287,338.74, 431,075.51 and 87,659.06

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Solution

The fourth proportional to 287,338.74, 431,075.51 and 87,659.06 is: 131,509.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,338.74 : 431,075.51 = 87,659.06 : x
  2. Step 2: Convert to fraction form
    287,338.74/431,075.51 = 87,659.06/x
  3. Step 3: Cross multiply
    287,338.74x = 431,075.51 × 87,659.06
  4. Step 4: Simplify right side
    287,338.74x = 37,787,674,448.24
  5. Step 5: Solve for x
    x = 37,787,674,448.24/287,338.74
  6. Step 6: Final answer
    x = 131,509.15

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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.