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Finding the Fourth Proportional to 519,301, 716,637.54 and 280,837

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Solution

The fourth proportional to 519,301, 716,637.54 and 280,837 is: 387,556.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,301 : 716,637.54 = 280,837 : x
  2. Step 2: Convert to fraction form
    519,301/716,637.54 = 280,837/x
  3. Step 3: Cross multiply
    519,301x = 716,637.54 × 280,837
  4. Step 4: Simplify right side
    519,301x = 201,258,336,820.98
  5. Step 5: Solve for x
    x = 201,258,336,820.98/519,301
  6. Step 6: Final answer
    x = 387,556.23

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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.