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Finding the Fourth Proportional to 306,431.56, 459,645.80 and 78,726.93

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Solution

The fourth proportional to 306,431.56, 459,645.80 and 78,726.93 is: 118,090.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,431.56 : 459,645.80 = 78,726.93 : x
  2. Step 2: Convert to fraction form
    306,431.56/459,645.80 = 78,726.93/x
  3. Step 3: Cross multiply
    306,431.56x = 459,645.80 × 78,726.93
  4. Step 4: Simplify right side
    306,431.56x = 36,186,502,721.39
  5. Step 5: Solve for x
    x = 36,186,502,721.39/306,431.56
  6. Step 6: Final answer
    x = 118,090.00

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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.