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Finding the Fourth Proportional to 369,082.48, 509,333.81 and 199,316.59

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Solution

The fourth proportional to 369,082.48, 509,333.81 and 199,316.59 is: 275,056.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,082.48 : 509,333.81 = 199,316.59 : x
  2. Step 2: Convert to fraction form
    369,082.48/509,333.81 = 199,316.59/x
  3. Step 3: Cross multiply
    369,082.48x = 509,333.81 × 199,316.59
  4. Step 4: Simplify right side
    369,082.48x = 101,518,678,180.91
  5. Step 5: Solve for x
    x = 101,518,678,180.91/369,082.48
  6. Step 6: Final answer
    x = 275,056.89

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1.5x scale

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.