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Finding the Fourth Proportional to 282,483.77, 389,830.43 and 153,424.77

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Solution

The fourth proportional to 282,483.77, 389,830.43 and 153,424.77 is: 211,727.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,483.77 : 389,830.43 = 153,424.77 : x
  2. Step 2: Convert to fraction form
    282,483.77/389,830.43 = 153,424.77/x
  3. Step 3: Cross multiply
    282,483.77x = 389,830.43 × 153,424.77
  4. Step 4: Simplify right side
    282,483.77x = 59,809,643,294.63
  5. Step 5: Solve for x
    x = 59,809,643,294.63/282,483.77
  6. Step 6: Final answer
    x = 211,727.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.