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Finding the Fourth Proportional to 287,684.65, 431,526.37 and 77,322.59

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Solution

The fourth proportional to 287,684.65, 431,526.37 and 77,322.59 is: 115,983.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,684.65 : 431,526.37 = 77,322.59 : x
  2. Step 2: Convert to fraction form
    287,684.65/431,526.37 = 77,322.59/x
  3. Step 3: Cross multiply
    287,684.65x = 431,526.37 × 77,322.59
  4. Step 4: Simplify right side
    287,684.65x = 33,366,736,581.70
  5. Step 5: Solve for x
    x = 33,366,736,581.70/287,684.65
  6. Step 6: Final answer
    x = 115,983.72

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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.