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Finding the Fourth Proportional to 369,538.60, 554,307.90 and 280,965.10

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Solution

The fourth proportional to 369,538.60, 554,307.90 and 280,965.10 is: 421,447.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,538.60 : 554,307.90 = 280,965.10 : x
  2. Step 2: Convert to fraction form
    369,538.60/554,307.90 = 280,965.10/x
  3. Step 3: Cross multiply
    369,538.60x = 554,307.90 × 280,965.10
  4. Step 4: Simplify right side
    369,538.60x = 155,741,174,554.29
  5. Step 5: Solve for x
    x = 155,741,174,554.29/369,538.60
  6. Step 6: Final answer
    x = 421,447.65

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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.