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Finding the Fourth Proportional to 660,291.25, 990,774.67 and 314,466.25

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Solution

The fourth proportional to 660,291.25, 990,774.67 and 314,466.25 is: 471,860.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,291.25 : 990,774.67 = 314,466.25 : x
  2. Step 2: Convert to fraction form
    660,291.25/990,774.67 = 314,466.25/x
  3. Step 3: Cross multiply
    660,291.25x = 990,774.67 × 314,466.25
  4. Step 4: Simplify right side
    660,291.25x = 311,565,194,283.72
  5. Step 5: Solve for x
    x = 311,565,194,283.72/660,291.25
  6. Step 6: Final answer
    x = 471,860.25

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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.