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Finding the Fourth Proportional to 459,542.72, 634,225.92 and 258,338.72

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Solution

The fourth proportional to 459,542.72, 634,225.92 and 258,338.72 is: 356,539.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,542.72 : 634,225.92 = 258,338.72 : x
  2. Step 2: Convert to fraction form
    459,542.72/634,225.92 = 258,338.72/x
  3. Step 3: Cross multiply
    459,542.72x = 634,225.92 × 258,338.72
  4. Step 4: Simplify right side
    459,542.72x = 163,845,112,363.62
  5. Step 5: Solve for x
    x = 163,845,112,363.62/459,542.72
  6. Step 6: Final answer
    x = 356,539.46

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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.