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Finding the Fourth Proportional to 524,814.80, 786,055.80 and 454,830.80

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Solution

The fourth proportional to 524,814.80, 786,055.80 and 454,830.80 is: 681,235.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,814.80 : 786,055.80 = 454,830.80 : x
  2. Step 2: Convert to fraction form
    524,814.80/786,055.80 = 454,830.80/x
  3. Step 3: Cross multiply
    524,814.80x = 786,055.80 × 454,830.80
  4. Step 4: Simplify right side
    524,814.80x = 357,522,388,358.64
  5. Step 5: Solve for x
    x = 357,522,388,358.64/524,814.80
  6. Step 6: Final answer
    x = 681,235.34

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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.