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Finding the Fourth Proportional to 289,643.60, 434,465.40 and 177,669.20

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Solution

The fourth proportional to 289,643.60, 434,465.40 and 177,669.20 is: 266,503.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,643.60 : 434,465.40 = 177,669.20 : x
  2. Step 2: Convert to fraction form
    289,643.60/434,465.40 = 177,669.20/x
  3. Step 3: Cross multiply
    289,643.60x = 434,465.40 × 177,669.20
  4. Step 4: Simplify right side
    289,643.60x = 77,191,120,045.68
  5. Step 5: Solve for x
    x = 77,191,120,045.68/289,643.60
  6. Step 6: Final answer
    x = 266,503.80

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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.