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Finding the Fourth Proportional to 282,912.90, 390,424.53 and 162,064.72

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Solution

The fourth proportional to 282,912.90, 390,424.53 and 162,064.72 is: 223,652.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,912.90 : 390,424.53 = 162,064.72 : x
  2. Step 2: Convert to fraction form
    282,912.90/390,424.53 = 162,064.72/x
  3. Step 3: Cross multiply
    282,912.90x = 390,424.53 × 162,064.72
  4. Step 4: Simplify right side
    282,912.90x = 63,274,042,319.74
  5. Step 5: Solve for x
    x = 63,274,042,319.74/282,912.90
  6. Step 6: Final answer
    x = 223,652.03

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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.