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Finding the Fourth Proportional to 346,463.12, 477,855.65 and 298,146.49

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Solution

The fourth proportional to 346,463.12, 477,855.65 and 298,146.49 is: 411,215.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,463.12 : 477,855.65 = 298,146.49 : x
  2. Step 2: Convert to fraction form
    346,463.12/477,855.65 = 298,146.49/x
  3. Step 3: Cross multiply
    346,463.12x = 477,855.65 × 298,146.49
  4. Step 4: Simplify right side
    346,463.12x = 142,470,984,774.17
  5. Step 5: Solve for x
    x = 142,470,984,774.17/346,463.12
  6. Step 6: Final answer
    x = 411,215.44

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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.