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Finding the Fourth Proportional to 385,267.49, 577,655.19 and 185,189.79

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Solution

The fourth proportional to 385,267.49, 577,655.19 and 185,189.79 is: 277,666.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,267.49 : 577,655.19 = 185,189.79 : x
  2. Step 2: Convert to fraction form
    385,267.49/577,655.19 = 185,189.79/x
  3. Step 3: Cross multiply
    385,267.49x = 577,655.19 × 185,189.79
  4. Step 4: Simplify right side
    385,267.49x = 106,975,843,328.51
  5. Step 5: Solve for x
    x = 106,975,843,328.51/385,267.49
  6. Step 6: Final answer
    x = 277,666.42

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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.