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Finding the Fourth Proportional to 421,601.60, 630,866.40 and 311,009.60

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Solution

The fourth proportional to 421,601.60, 630,866.40 and 311,009.60 is: 465,381.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,601.60 : 630,866.40 = 311,009.60 : x
  2. Step 2: Convert to fraction form
    421,601.60/630,866.40 = 311,009.60/x
  3. Step 3: Cross multiply
    421,601.60x = 630,866.40 × 311,009.60
  4. Step 4: Simplify right side
    421,601.60x = 196,205,506,717.44
  5. Step 5: Solve for x
    x = 196,205,506,717.44/421,601.60
  6. Step 6: Final answer
    x = 465,381.31

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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.