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Finding the Fourth Proportional to 286,303.42, 429,321.80 and 106,263.46

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Solution

The fourth proportional to 286,303.42, 429,321.80 and 106,263.46 is: 159,345.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,303.42 : 429,321.80 = 106,263.46 : x
  2. Step 2: Convert to fraction form
    286,303.42/429,321.80 = 106,263.46/x
  3. Step 3: Cross multiply
    286,303.42x = 429,321.80 × 106,263.46
  4. Step 4: Simplify right side
    286,303.42x = 45,621,219,921.43
  5. Step 5: Solve for x
    x = 45,621,219,921.43/286,303.42
  6. Step 6: Final answer
    x = 159,345.70

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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.