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Finding the Fourth Proportional to 306,594, 459,916.92 and 84,978

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Solution

The fourth proportional to 306,594, 459,916.92 and 84,978 is: 127,474.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,594 : 459,916.92 = 84,978 : x
  2. Step 2: Convert to fraction form
    306,594/459,916.92 = 84,978/x
  3. Step 3: Cross multiply
    306,594x = 459,916.92 × 84,978
  4. Step 4: Simplify right side
    306,594x = 39,082,820,027.76
  5. Step 5: Solve for x
    x = 39,082,820,027.76/306,594
  6. Step 6: Final answer
    x = 127,474.18

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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.