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Finding the Fourth Proportional to 458,700.98, 687,690.93 and 289,866.20

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Solution

The fourth proportional to 458,700.98, 687,690.93 and 289,866.20 is: 434,571.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,700.98 : 687,690.93 = 289,866.20 : x
  2. Step 2: Convert to fraction form
    458,700.98/687,690.93 = 289,866.20/x
  3. Step 3: Cross multiply
    458,700.98x = 687,690.93 × 289,866.20
  4. Step 4: Simplify right side
    458,700.98x = 199,338,356,653.57
  5. Step 5: Solve for x
    x = 199,338,356,653.57/458,700.98
  6. Step 6: Final answer
    x = 434,571.46

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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.