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Finding the Fourth Proportional to 306,430.94, 459,644.92 and 78,726.37

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Solution

The fourth proportional to 306,430.94, 459,644.92 and 78,726.37 is: 118,089.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,430.94 : 459,644.92 = 78,726.37 : x
  2. Step 2: Convert to fraction form
    306,430.94/459,644.92 = 78,726.37/x
  3. Step 3: Cross multiply
    306,430.94x = 459,644.92 × 78,726.37
  4. Step 4: Simplify right side
    306,430.94x = 36,186,176,040.54
  5. Step 5: Solve for x
    x = 36,186,176,040.54/306,430.94
  6. Step 6: Final answer
    x = 118,089.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.