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Finding the Fourth Proportional to 660,294.36, 990,779.34 and 314,469.40

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Solution

The fourth proportional to 660,294.36, 990,779.34 and 314,469.40 is: 471,864.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,294.36 : 990,779.34 = 314,469.40 : x
  2. Step 2: Convert to fraction form
    660,294.36/990,779.34 = 314,469.40/x
  3. Step 3: Cross multiply
    660,294.36x = 990,779.34 × 314,469.40
  4. Step 4: Simplify right side
    660,294.36x = 311,569,784,582.20
  5. Step 5: Solve for x
    x = 311,569,784,582.20/660,294.36
  6. Step 6: Final answer
    x = 471,864.98

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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.