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Finding the Fourth Proportional to 282,903.29, 390,398.75 and 155,578.89

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Solution

The fourth proportional to 282,903.29, 390,398.75 and 155,578.89 is: 214,694.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,903.29 : 390,398.75 = 155,578.89 : x
  2. Step 2: Convert to fraction form
    282,903.29/390,398.75 = 155,578.89/x
  3. Step 3: Cross multiply
    282,903.29x = 390,398.75 × 155,578.89
  4. Step 4: Simplify right side
    282,903.29x = 60,737,804,182.39
  5. Step 5: Solve for x
    x = 60,737,804,182.39/282,903.29
  6. Step 6: Final answer
    x = 214,694.58

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1.5x scale

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.