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Finding the Fourth Proportional to 524,239.78, 785,784.06 and 299,109.39

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Solution

The fourth proportional to 524,239.78, 785,784.06 and 299,109.39 is: 448,335.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,239.78 : 785,784.06 = 299,109.39 : x
  2. Step 2: Convert to fraction form
    524,239.78/785,784.06 = 299,109.39/x
  3. Step 3: Cross multiply
    524,239.78x = 785,784.06 × 299,109.39
  4. Step 4: Simplify right side
    524,239.78x = 235,035,390,858.32
  5. Step 5: Solve for x
    x = 235,035,390,858.32/524,239.78
  6. Step 6: Final answer
    x = 448,335.67

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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.