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Finding the Fourth Proportional to 450,656.55, 679,148.16 and 405,722.81

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Solution

The fourth proportional to 450,656.55, 679,148.16 and 405,722.81 is: 611,432.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,656.55 : 679,148.16 = 405,722.81 : x
  2. Step 2: Convert to fraction form
    450,656.55/679,148.16 = 405,722.81/x
  3. Step 3: Cross multiply
    450,656.55x = 679,148.16 × 405,722.81
  4. Step 4: Simplify right side
    450,656.55x = 275,545,900,057.94
  5. Step 5: Solve for x
    x = 275,545,900,057.94/450,656.55
  6. Step 6: Final answer
    x = 611,432.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.