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Finding the Fourth Proportional to 346,106, 477,626.30 and 187,130

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Solution

The fourth proportional to 346,106, 477,626.30 and 187,130 is: 258,239.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,106 : 477,626.30 = 187,130 : x
  2. Step 2: Convert to fraction form
    346,106/477,626.30 = 187,130/x
  3. Step 3: Cross multiply
    346,106x = 477,626.30 × 187,130
  4. Step 4: Simplify right side
    346,106x = 89,378,209,519
  5. Step 5: Solve for x
    x = 89,378,209,519/346,106
  6. Step 6: Final answer
    x = 258,239.41

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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.