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Finding the Fourth Proportional to 421,688.50, 632,533.36 and 172,370.50

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Solution

The fourth proportional to 421,688.50, 632,533.36 and 172,370.50 is: 258,556.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,688.50 : 632,533.36 = 172,370.50 : x
  2. Step 2: Convert to fraction form
    421,688.50/632,533.36 = 172,370.50/x
  3. Step 3: Cross multiply
    421,688.50x = 632,533.36 × 172,370.50
  4. Step 4: Simplify right side
    421,688.50x = 109,030,091,098.95
  5. Step 5: Solve for x
    x = 109,030,091,098.95/421,688.50
  6. Step 6: Final answer
    x = 258,556.00

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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.