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Finding the Fourth Proportional to 421,804.90, 632,762.85 and 155,752.30

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Solution

The fourth proportional to 421,804.90, 632,762.85 and 155,752.30 is: 233,648.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,804.90 : 632,762.85 = 155,752.30 : x
  2. Step 2: Convert to fraction form
    421,804.90/632,762.85 = 155,752.30/x
  3. Step 3: Cross multiply
    421,804.90x = 632,762.85 × 155,752.30
  4. Step 4: Simplify right side
    421,804.90x = 98,554,269,242.06
  5. Step 5: Solve for x
    x = 98,554,269,242.06/421,804.90
  6. Step 6: Final answer
    x = 233,648.94

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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.