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Finding the Fourth Proportional to 464,483.96, 640,993.25 and 257,756.67

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Solution

The fourth proportional to 464,483.96, 640,993.25 and 257,756.67 is: 355,707.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,483.96 : 640,993.25 = 257,756.67 : x
  2. Step 2: Convert to fraction form
    464,483.96/640,993.25 = 257,756.67/x
  3. Step 3: Cross multiply
    464,483.96x = 640,993.25 × 257,756.67
  4. Step 4: Simplify right side
    464,483.96x = 165,220,284,323.69
  5. Step 5: Solve for x
    x = 165,220,284,323.69/464,483.96
  6. Step 6: Final answer
    x = 355,707.19

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1.5x scale

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.