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Finding the Fourth Proportional to 390,195.84, 584,683.20 and 301,667.52

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Solution

The fourth proportional to 390,195.84, 584,683.20 and 301,667.52 is: 452,029.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,195.84 : 584,683.20 = 301,667.52 : x
  2. Step 2: Convert to fraction form
    390,195.84/584,683.20 = 301,667.52/x
  3. Step 3: Cross multiply
    390,195.84x = 584,683.20 × 301,667.52
  4. Step 4: Simplify right side
    390,195.84x = 176,379,930,929.66
  5. Step 5: Solve for x
    x = 176,379,930,929.66/390,195.84
  6. Step 6: Final answer
    x = 452,029.24

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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.