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Finding the Fourth Proportional to 282,775.67, 390,237.89 and 153,722.82

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Solution

The fourth proportional to 282,775.67, 390,237.89 and 153,722.82 is: 212,141.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,775.67 : 390,237.89 = 153,722.82 : x
  2. Step 2: Convert to fraction form
    282,775.67/390,237.89 = 153,722.82/x
  3. Step 3: Cross multiply
    282,775.67x = 390,237.89 × 153,722.82
  4. Step 4: Simplify right side
    282,775.67x = 59,988,468,153.04
  5. Step 5: Solve for x
    x = 59,988,468,153.04/282,775.67
  6. Step 6: Final answer
    x = 212,141.55

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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.