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Finding the Fourth Proportional to 285,366.75, 425,531.84 and 282,804.24

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Solution

The fourth proportional to 285,366.75, 425,531.84 and 282,804.24 is: 421,710.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,366.75 : 425,531.84 = 282,804.24 : x
  2. Step 2: Convert to fraction form
    285,366.75/425,531.84 = 282,804.24/x
  3. Step 3: Cross multiply
    285,366.75x = 425,531.84 × 282,804.24
  4. Step 4: Simplify right side
    285,366.75x = 120,342,208,607.00
  5. Step 5: Solve for x
    x = 120,342,208,607.00/285,366.75
  6. Step 6: Final answer
    x = 421,710.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.