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Finding the Fourth Proportional to 407,499.90, 610,666.65 and 300,045.30

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Solution

The fourth proportional to 407,499.90, 610,666.65 and 300,045.30 is: 449,638.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,499.90 : 610,666.65 = 300,045.30 : x
  2. Step 2: Convert to fraction form
    407,499.90/610,666.65 = 300,045.30/x
  3. Step 3: Cross multiply
    407,499.90x = 610,666.65 × 300,045.30
  4. Step 4: Simplify right side
    407,499.90x = 183,227,658,199.25
  5. Step 5: Solve for x
    x = 183,227,658,199.25/407,499.90
  6. Step 6: Final answer
    x = 449,638.54

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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.