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Finding the Fourth Proportional to 459,853.80, 634,618.98 and 258,649.80

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Solution

The fourth proportional to 459,853.80, 634,618.98 and 258,649.80 is: 356,948.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,853.80 : 634,618.98 = 258,649.80 : x
  2. Step 2: Convert to fraction form
    459,853.80/634,618.98 = 258,649.80/x
  3. Step 3: Cross multiply
    459,853.80x = 634,618.98 × 258,649.80
  4. Step 4: Simplify right side
    459,853.80x = 164,144,072,253.20
  5. Step 5: Solve for x
    x = 164,144,072,253.20/459,853.80
  6. Step 6: Final answer
    x = 356,948.39

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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.