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Finding the Fourth Proportional to 306,347.87, 459,461.06 and 291,157.67

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Solution

The fourth proportional to 306,347.87, 459,461.06 and 291,157.67 is: 436,678.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,347.87 : 459,461.06 = 291,157.67 : x
  2. Step 2: Convert to fraction form
    306,347.87/459,461.06 = 291,157.67/x
  3. Step 3: Cross multiply
    306,347.87x = 459,461.06 × 291,157.67
  4. Step 4: Simplify right side
    306,347.87x = 133,775,612,470.04
  5. Step 5: Solve for x
    x = 133,775,612,470.04/306,347.87
  6. Step 6: Final answer
    x = 436,678.77

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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.