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Finding the Fourth Proportional to 505,071.99, 757,386.27 and 189,307.46

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Solution

The fourth proportional to 505,071.99, 757,386.27 and 189,307.46 is: 283,878.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,071.99 : 757,386.27 = 189,307.46 : x
  2. Step 2: Convert to fraction form
    505,071.99/757,386.27 = 189,307.46/x
  3. Step 3: Cross multiply
    505,071.99x = 757,386.27 × 189,307.46
  4. Step 4: Simplify right side
    505,071.99x = 143,378,867,225.64
  5. Step 5: Solve for x
    x = 143,378,867,225.64/505,071.99
  6. Step 6: Final answer
    x = 283,878.08

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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.