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Finding the Fourth Proportional to 610,717.12, 843,226.40 and 407,247.75

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Solution

The fourth proportional to 610,717.12, 843,226.40 and 407,247.75 is: 562,293.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,717.12 : 843,226.40 = 407,247.75 : x
  2. Step 2: Convert to fraction form
    610,717.12/843,226.40 = 407,247.75/x
  3. Step 3: Cross multiply
    610,717.12x = 843,226.40 × 407,247.75
  4. Step 4: Simplify right side
    610,717.12x = 343,402,055,158.72
  5. Step 5: Solve for x
    x = 343,402,055,158.72/610,717.12
  6. Step 6: Final answer
    x = 562,293.16

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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.