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Finding the Fourth Proportional to 421,955.16, 581,601.30 and 314,485.98

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Solution

The fourth proportional to 421,955.16, 581,601.30 and 314,485.98 is: 433,471.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,955.16 : 581,601.30 = 314,485.98 : x
  2. Step 2: Convert to fraction form
    421,955.16/581,601.30 = 314,485.98/x
  3. Step 3: Cross multiply
    421,955.16x = 581,601.30 × 314,485.98
  4. Step 4: Simplify right side
    421,955.16x = 182,905,454,799.77
  5. Step 5: Solve for x
    x = 182,905,454,799.77/421,955.16
  6. Step 6: Final answer
    x = 433,471.31

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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.