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Finding the Fourth Proportional to 189,315.60, 283,627.80 and 154,064.40

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Solution

The fourth proportional to 189,315.60, 283,627.80 and 154,064.40 is: 230,815.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,315.60 : 283,627.80 = 154,064.40 : x
  2. Step 2: Convert to fraction form
    189,315.60/283,627.80 = 154,064.40/x
  3. Step 3: Cross multiply
    189,315.60x = 283,627.80 × 154,064.40
  4. Step 4: Simplify right side
    189,315.60x = 43,696,946,830.32
  5. Step 5: Solve for x
    x = 43,696,946,830.32/189,315.60
  6. Step 6: Final answer
    x = 230,815.35

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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.