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Finding the Fourth Proportional to 459,869.19, 634,076.67 and 314,745

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Solution

The fourth proportional to 459,869.19, 634,076.67 and 314,745 is: 433,976.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,869.19 : 634,076.67 = 314,745 : x
  2. Step 2: Convert to fraction form
    459,869.19/634,076.67 = 314,745/x
  3. Step 3: Cross multiply
    459,869.19x = 634,076.67 × 314,745
  4. Step 4: Simplify right side
    459,869.19x = 199,572,461,499.15
  5. Step 5: Solve for x
    x = 199,572,461,499.15/459,869.19
  6. Step 6: Final answer
    x = 433,976.59

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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.