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Finding the Fourth Proportional to 346,142, 477,677.40 and 187,166

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Solution

The fourth proportional to 346,142, 477,677.40 and 187,166 is: 258,289.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,142 : 477,677.40 = 187,166 : x
  2. Step 2: Convert to fraction form
    346,142/477,677.40 = 187,166/x
  3. Step 3: Cross multiply
    346,142x = 477,677.40 × 187,166
  4. Step 4: Simplify right side
    346,142x = 89,404,968,248.40
  5. Step 5: Solve for x
    x = 89,404,968,248.40/346,142
  6. Step 6: Final answer
    x = 258,289.86

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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.