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Finding the Fourth Proportional to 553,651.20, 830,477.34 and 154,293.12

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Solution

The fourth proportional to 553,651.20, 830,477.34 and 154,293.12 is: 231,439.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,651.20 : 830,477.34 = 154,293.12 : x
  2. Step 2: Convert to fraction form
    553,651.20/830,477.34 = 154,293.12/x
  3. Step 3: Cross multiply
    553,651.20x = 830,477.34 × 154,293.12
  4. Step 4: Simplify right side
    553,651.20x = 128,136,939,877.90
  5. Step 5: Solve for x
    x = 128,136,939,877.90/553,651.20
  6. Step 6: Final answer
    x = 231,439.83

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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.