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Finding the Fourth Proportional to 407,120.85, 610,681.28 and 300,832.65

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Solution

The fourth proportional to 407,120.85, 610,681.28 and 300,832.65 is: 451,248.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,120.85 : 610,681.28 = 300,832.65 : x
  2. Step 2: Convert to fraction form
    407,120.85/610,681.28 = 300,832.65/x
  3. Step 3: Cross multiply
    407,120.85x = 610,681.28 × 300,832.65
  4. Step 4: Simplify right side
    407,120.85x = 183,712,866,263.63
  5. Step 5: Solve for x
    x = 183,712,866,263.63/407,120.85
  6. Step 6: Final answer
    x = 451,248.98

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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.