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Finding the Fourth Proportional to 631,424.96, 871,210.32 and 405,376.64

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Solution

The fourth proportional to 631,424.96, 871,210.32 and 405,376.64 is: 559,319.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,424.96 : 871,210.32 = 405,376.64 : x
  2. Step 2: Convert to fraction form
    631,424.96/871,210.32 = 405,376.64/x
  3. Step 3: Cross multiply
    631,424.96x = 871,210.32 × 405,376.64
  4. Step 4: Simplify right side
    631,424.96x = 353,168,312,254.93
  5. Step 5: Solve for x
    x = 353,168,312,254.93/631,424.96
  6. Step 6: Final answer
    x = 559,319.53

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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.