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Finding the Fourth Proportional to 653,365.79, 978,736.47 and 297,890.81

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Solution

The fourth proportional to 653,365.79, 978,736.47 and 297,890.81 is: 446,237.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,365.79 : 978,736.47 = 297,890.81 : x
  2. Step 2: Convert to fraction form
    653,365.79/978,736.47 = 297,890.81/x
  3. Step 3: Cross multiply
    653,365.79x = 978,736.47 × 297,890.81
  4. Step 4: Simplify right side
    653,365.79x = 291,556,599,824.84
  5. Step 5: Solve for x
    x = 291,556,599,824.84/653,365.79
  6. Step 6: Final answer
    x = 446,237.93

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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.