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Finding the Fourth Proportional to 346,218, 477,780.96 and 187,242

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Solution

The fourth proportional to 346,218, 477,780.96 and 187,242 is: 258,394.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,218 : 477,780.96 = 187,242 : x
  2. Step 2: Convert to fraction form
    346,218/477,780.96 = 187,242/x
  3. Step 3: Cross multiply
    346,218x = 477,780.96 × 187,242
  4. Step 4: Simplify right side
    346,218x = 89,460,662,512.32
  5. Step 5: Solve for x
    x = 89,460,662,512.32/346,218
  6. Step 6: Final answer
    x = 258,394.02

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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.