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Finding the Fourth Proportional to 354,778.01, 531,410.40 and 287,019.28

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Solution

The fourth proportional to 354,778.01, 531,410.40 and 287,019.28 is: 429,916.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,778.01 : 531,410.40 = 287,019.28 : x
  2. Step 2: Convert to fraction form
    354,778.01/531,410.40 = 287,019.28/x
  3. Step 3: Cross multiply
    354,778.01x = 531,410.40 × 287,019.28
  4. Step 4: Simplify right side
    354,778.01x = 152,525,030,392.51
  5. Step 5: Solve for x
    x = 152,525,030,392.51/354,778.01
  6. Step 6: Final answer
    x = 429,916.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.