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Finding the Fourth Proportional to 478,157.62, 716,698.18 and 208,512.67

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Solution

The fourth proportional to 478,157.62, 716,698.18 and 208,512.67 is: 312,534.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,157.62 : 716,698.18 = 208,512.67 : x
  2. Step 2: Convert to fraction form
    478,157.62/716,698.18 = 208,512.67/x
  3. Step 3: Cross multiply
    478,157.62x = 716,698.18 × 208,512.67
  4. Step 4: Simplify right side
    478,157.62x = 149,440,651,095.94
  5. Step 5: Solve for x
    x = 149,440,651,095.94/478,157.62
  6. Step 6: Final answer
    x = 312,534.29

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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.