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Finding the Fourth Proportional to 289,307.97, 434,030.72 and 120,734.64

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Solution

The fourth proportional to 289,307.97, 434,030.72 and 120,734.64 is: 181,130.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,307.97 : 434,030.72 = 120,734.64 : x
  2. Step 2: Convert to fraction form
    289,307.97/434,030.72 = 120,734.64/x
  3. Step 3: Cross multiply
    289,307.97x = 434,030.72 × 120,734.64
  4. Step 4: Simplify right side
    289,307.97x = 52,402,542,728.14
  5. Step 5: Solve for x
    x = 52,402,542,728.14/289,307.97
  6. Step 6: Final answer
    x = 181,130.66

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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.