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Finding the Fourth Proportional to 526,206.81, 789,509.05 and 315,991.29

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Solution

The fourth proportional to 526,206.81, 789,509.05 and 315,991.29 is: 474,106.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,206.81 : 789,509.05 = 315,991.29 : x
  2. Step 2: Convert to fraction form
    526,206.81/789,509.05 = 315,991.29/x
  3. Step 3: Cross multiply
    526,206.81x = 789,509.05 × 315,991.29
  4. Step 4: Simplify right side
    526,206.81x = 249,477,983,176.18
  5. Step 5: Solve for x
    x = 249,477,983,176.18/526,206.81
  6. Step 6: Final answer
    x = 474,106.34

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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.