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Finding the Fourth Proportional to 407,782.18, 563,121.21 and 262,842.40

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Solution

The fourth proportional to 407,782.18, 563,121.21 and 262,842.40 is: 362,968.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,782.18 : 563,121.21 = 262,842.40 : x
  2. Step 2: Convert to fraction form
    407,782.18/563,121.21 = 262,842.40/x
  3. Step 3: Cross multiply
    407,782.18x = 563,121.21 × 262,842.40
  4. Step 4: Simplify right side
    407,782.18x = 148,012,130,327.30
  5. Step 5: Solve for x
    x = 148,012,130,327.30/407,782.18
  6. Step 6: Final answer
    x = 362,968.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.