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Finding the Fourth Proportional to 385,669.34, 578,444.61 and 105,208.46

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Solution

The fourth proportional to 385,669.34, 578,444.61 and 105,208.46 is: 157,796.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,669.34 : 578,444.61 = 105,208.46 : x
  2. Step 2: Convert to fraction form
    385,669.34/578,444.61 = 105,208.46/x
  3. Step 3: Cross multiply
    385,669.34x = 578,444.61 × 105,208.46
  4. Step 4: Simplify right side
    385,669.34x = 60,857,266,613.40
  5. Step 5: Solve for x
    x = 60,857,266,613.40/385,669.34
  6. Step 6: Final answer
    x = 157,796.49

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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.