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Finding the Fourth Proportional to 459,916.70, 634,678.70 and 255,967.56

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Solution

The fourth proportional to 459,916.70, 634,678.70 and 255,967.56 is: 353,231.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,916.70 : 634,678.70 = 255,967.56 : x
  2. Step 2: Convert to fraction form
    459,916.70/634,678.70 = 255,967.56/x
  3. Step 3: Cross multiply
    459,916.70x = 634,678.70 × 255,967.56
  4. Step 4: Simplify right side
    459,916.70x = 162,457,158,222.97
  5. Step 5: Solve for x
    x = 162,457,158,222.97/459,916.70
  6. Step 6: Final answer
    x = 353,231.70

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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.