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Finding the Fourth Proportional to 355,712.40, 490,872.72 and 194,564.01

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Solution

The fourth proportional to 355,712.40, 490,872.72 and 194,564.01 is: 268,492.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,712.40 : 490,872.72 = 194,564.01 : x
  2. Step 2: Convert to fraction form
    355,712.40/490,872.72 = 194,564.01/x
  3. Step 3: Cross multiply
    355,712.40x = 490,872.72 × 194,564.01
  4. Step 4: Simplify right side
    355,712.40x = 95,506,164,802.81
  5. Step 5: Solve for x
    x = 95,506,164,802.81/355,712.40
  6. Step 6: Final answer
    x = 268,492.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.