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Finding the Fourth Proportional to 523,720.07, 785,924.60 and 287,228.82

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Solution

The fourth proportional to 523,720.07, 785,924.60 and 287,228.82 is: 431,032.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,720.07 : 785,924.60 = 287,228.82 : x
  2. Step 2: Convert to fraction form
    523,720.07/785,924.60 = 287,228.82/x
  3. Step 3: Cross multiply
    523,720.07x = 785,924.60 × 287,228.82
  4. Step 4: Simplify right side
    523,720.07x = 225,740,194,030.83
  5. Step 5: Solve for x
    x = 225,740,194,030.83/523,720.07
  6. Step 6: Final answer
    x = 431,032.17

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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.