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Finding the Fourth Proportional to 286,054.24, 428,984.16 and 99,022

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Solution

The fourth proportional to 286,054.24, 428,984.16 and 99,022 is: 148,499.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,054.24 : 428,984.16 = 99,022 : x
  2. Step 2: Convert to fraction form
    286,054.24/428,984.16 = 99,022/x
  3. Step 3: Cross multiply
    286,054.24x = 428,984.16 × 99,022
  4. Step 4: Simplify right side
    286,054.24x = 42,478,869,491.52
  5. Step 5: Solve for x
    x = 42,478,869,491.52/286,054.24
  6. Step 6: Final answer
    x = 148,499.35

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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.