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Finding the Fourth Proportional to 421,804.83, 632,577.05 and 122,307.49

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Solution

The fourth proportional to 421,804.83, 632,577.05 and 122,307.49 is: 183,423.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,804.83 : 632,577.05 = 122,307.49 : x
  2. Step 2: Convert to fraction form
    421,804.83/632,577.05 = 122,307.49/x
  3. Step 3: Cross multiply
    421,804.83x = 632,577.05 × 122,307.49
  4. Step 4: Simplify right side
    421,804.83x = 77,368,911,217.10
  5. Step 5: Solve for x
    x = 77,368,911,217.10/421,804.83
  6. Step 6: Final answer
    x = 183,423.48

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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.