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Finding the Fourth Proportional to 357,126.80, 535,690.20 and 278,300.03

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Solution

The fourth proportional to 357,126.80, 535,690.20 and 278,300.03 is: 417,450.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,126.80 : 535,690.20 = 278,300.03 : x
  2. Step 2: Convert to fraction form
    357,126.80/535,690.20 = 278,300.03/x
  3. Step 3: Cross multiply
    357,126.80x = 535,690.20 × 278,300.03
  4. Step 4: Simplify right side
    357,126.80x = 149,082,598,730.71
  5. Step 5: Solve for x
    x = 149,082,598,730.71/357,126.80
  6. Step 6: Final answer
    x = 417,450.05

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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.