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Finding the Fourth Proportional to 614,012.40, 920,954.52 and 164,781.36

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Solution

The fourth proportional to 614,012.40, 920,954.52 and 164,781.36 is: 247,154.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,012.40 : 920,954.52 = 164,781.36 : x
  2. Step 2: Convert to fraction form
    614,012.40/920,954.52 = 164,781.36/x
  3. Step 3: Cross multiply
    614,012.40x = 920,954.52 × 164,781.36
  4. Step 4: Simplify right side
    614,012.40x = 151,756,138,303.75
  5. Step 5: Solve for x
    x = 151,756,138,303.75/614,012.40
  6. Step 6: Final answer
    x = 247,154.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.