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Finding the Fourth Proportional to 346,276, 477,861.84 and 187,300

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Solution

The fourth proportional to 346,276, 477,861.84 and 187,300 is: 258,474.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,276 : 477,861.84 = 187,300 : x
  2. Step 2: Convert to fraction form
    346,276/477,861.84 = 187,300/x
  3. Step 3: Cross multiply
    346,276x = 477,861.84 × 187,300
  4. Step 4: Simplify right side
    346,276x = 89,503,522,632
  5. Step 5: Solve for x
    x = 89,503,522,632/346,276
  6. Step 6: Final answer
    x = 258,474.52

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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.