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Finding the Fourth Proportional to 243,328.40, 364,927.80 and 74,848.40

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Solution

The fourth proportional to 243,328.40, 364,927.80 and 74,848.40 is: 112,252.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,328.40 : 364,927.80 = 74,848.40 : x
  2. Step 2: Convert to fraction form
    243,328.40/364,927.80 = 74,848.40/x
  3. Step 3: Cross multiply
    243,328.40x = 364,927.80 × 74,848.40
  4. Step 4: Simplify right side
    243,328.40x = 27,314,261,945.52
  5. Step 5: Solve for x
    x = 27,314,261,945.52/243,328.40
  6. Step 6: Final answer
    x = 112,252.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.