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Finding the Fourth Proportional to 660,294.25, 990,779.16 and 314,469.25

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Solution

The fourth proportional to 660,294.25, 990,779.16 and 314,469.25 is: 471,864.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,294.25 : 990,779.16 = 314,469.25 : x
  2. Step 2: Convert to fraction form
    660,294.25/990,779.16 = 314,469.25/x
  3. Step 3: Cross multiply
    660,294.25x = 990,779.16 × 314,469.25
  4. Step 4: Simplify right side
    660,294.25x = 311,569,579,360.83
  5. Step 5: Solve for x
    x = 311,569,579,360.83/660,294.25
  6. Step 6: Final answer
    x = 471,864.75

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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.