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Finding the Fourth Proportional to 459,930, 634,713.12 and 258,726

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Solution

The fourth proportional to 459,930, 634,713.12 and 258,726 is: 357,047.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,930 : 634,713.12 = 258,726 : x
  2. Step 2: Convert to fraction form
    459,930/634,713.12 = 258,726/x
  3. Step 3: Cross multiply
    459,930x = 634,713.12 × 258,726
  4. Step 4: Simplify right side
    459,930x = 164,216,786,685.12
  5. Step 5: Solve for x
    x = 164,216,786,685.12/459,930
  6. Step 6: Final answer
    x = 357,047.35

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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.