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Finding the Fourth Proportional to 385,444.09, 578,162.89 and 301,275.06

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Solution

The fourth proportional to 385,444.09, 578,162.89 and 301,275.06 is: 451,910.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,444.09 : 578,162.89 = 301,275.06 : x
  2. Step 2: Convert to fraction form
    385,444.09/578,162.89 = 301,275.06/x
  3. Step 3: Cross multiply
    385,444.09x = 578,162.89 × 301,275.06
  4. Step 4: Simplify right side
    385,444.09x = 174,186,059,374.52
  5. Step 5: Solve for x
    x = 174,186,059,374.52/385,444.09
  6. Step 6: Final answer
    x = 451,910.05

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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.