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Finding the Fourth Proportional to 939,082, 1,408,830.36 and 348,106

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Solution

The fourth proportional to 939,082, 1,408,830.36 and 348,106 is: 522,235.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    939,082 : 1,408,830.36 = 348,106 : x
  2. Step 2: Convert to fraction form
    939,082/1,408,830.36 = 348,106/x
  3. Step 3: Cross multiply
    939,082x = 1,408,830.36 × 348,106
  4. Step 4: Simplify right side
    939,082x = 490,422,301,298.16
  5. Step 5: Solve for x
    x = 490,422,301,298.16/939,082
  6. Step 6: Final answer
    x = 522,235.87

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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.