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Finding the Fourth Proportional to 659,294.90, 989,108.16 and 304,559.90

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Solution

The fourth proportional to 659,294.90, 989,108.16 and 304,559.90 is: 456,916.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,294.90 : 989,108.16 = 304,559.90 : x
  2. Step 2: Convert to fraction form
    659,294.90/989,108.16 = 304,559.90/x
  3. Step 3: Cross multiply
    659,294.90x = 989,108.16 × 304,559.90
  4. Step 4: Simplify right side
    659,294.90x = 301,242,682,298.78
  5. Step 5: Solve for x
    x = 301,242,682,298.78/659,294.90
  6. Step 6: Final answer
    x = 456,916.45

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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.