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Finding the Fourth Proportional to 328,038.98, 492,208.39 and 148,172.49

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Solution

The fourth proportional to 328,038.98, 492,208.39 and 148,172.49 is: 222,326.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,038.98 : 492,208.39 = 148,172.49 : x
  2. Step 2: Convert to fraction form
    328,038.98/492,208.39 = 148,172.49/x
  3. Step 3: Cross multiply
    328,038.98x = 492,208.39 × 148,172.49
  4. Step 4: Simplify right side
    328,038.98x = 72,931,742,930.41
  5. Step 5: Solve for x
    x = 72,931,742,930.41/328,038.98
  6. Step 6: Final answer
    x = 222,326.46

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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.