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Finding the Fourth Proportional to 210,870.45, 315,955.76 and 148,409.73

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Solution

The fourth proportional to 210,870.45, 315,955.76 and 148,409.73 is: 222,368.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,870.45 : 315,955.76 = 148,409.73 : x
  2. Step 2: Convert to fraction form
    210,870.45/315,955.76 = 148,409.73/x
  3. Step 3: Cross multiply
    210,870.45x = 315,955.76 × 148,409.73
  4. Step 4: Simplify right side
    210,870.45x = 46,890,908,291.50
  5. Step 5: Solve for x
    x = 46,890,908,291.50/210,870.45
  6. Step 6: Final answer
    x = 222,368.32

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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.