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Finding the Fourth Proportional to 652,533.74, 900,294.75 and 380,408.97

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Solution

The fourth proportional to 652,533.74, 900,294.75 and 380,408.97 is: 524,846.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,533.74 : 900,294.75 = 380,408.97 : x
  2. Step 2: Convert to fraction form
    652,533.74/900,294.75 = 380,408.97/x
  3. Step 3: Cross multiply
    652,533.74x = 900,294.75 × 380,408.97
  4. Step 4: Simplify right side
    652,533.74x = 342,480,198,543.91
  5. Step 5: Solve for x
    x = 342,480,198,543.91/652,533.74
  6. Step 6: Final answer
    x = 524,846.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.