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Finding the Fourth Proportional to 306,314.16, 459,410.68 and 291,124.02

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Solution

The fourth proportional to 306,314.16, 459,410.68 and 291,124.02 is: 436,628.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,314.16 : 459,410.68 = 291,124.02 : x
  2. Step 2: Convert to fraction form
    306,314.16/459,410.68 = 291,124.02/x
  3. Step 3: Cross multiply
    306,314.16x = 459,410.68 × 291,124.02
  4. Step 4: Simplify right side
    306,314.16x = 133,745,483,992.53
  5. Step 5: Solve for x
    x = 133,745,483,992.53/306,314.16
  6. Step 6: Final answer
    x = 436,628.47

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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.