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Finding the Fourth Proportional to 346,140, 477,673.20 and 187,164

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Solution

The fourth proportional to 346,140, 477,673.20 and 187,164 is: 258,286.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,140 : 477,673.20 = 187,164 : x
  2. Step 2: Convert to fraction form
    346,140/477,673.20 = 187,164/x
  3. Step 3: Cross multiply
    346,140x = 477,673.20 × 187,164
  4. Step 4: Simplify right side
    346,140x = 89,403,226,804.80
  5. Step 5: Solve for x
    x = 89,403,226,804.80/346,140
  6. Step 6: Final answer
    x = 258,286.32

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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.