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Finding the Fourth Proportional to 495,040.50, 742,441.82 and 228,544.98

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Solution

The fourth proportional to 495,040.50, 742,441.82 and 228,544.98 is: 342,762.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,040.50 : 742,441.82 = 228,544.98 : x
  2. Step 2: Convert to fraction form
    495,040.50/742,441.82 = 228,544.98/x
  3. Step 3: Cross multiply
    495,040.50x = 742,441.82 × 228,544.98
  4. Step 4: Simplify right side
    495,040.50x = 169,681,349,760.34
  5. Step 5: Solve for x
    x = 169,681,349,760.34/495,040.50
  6. Step 6: Final answer
    x = 342,762.56

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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.