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Finding the Fourth Proportional to 385,549.66, 577,923.54 and 149,054.77

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Solution

The fourth proportional to 385,549.66, 577,923.54 and 149,054.77 is: 223,427.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,549.66 : 577,923.54 = 149,054.77 : x
  2. Step 2: Convert to fraction form
    385,549.66/577,923.54 = 149,054.77/x
  3. Step 3: Cross multiply
    385,549.66x = 577,923.54 × 149,054.77
  4. Step 4: Simplify right side
    385,549.66x = 86,142,260,332.29
  5. Step 5: Solve for x
    x = 86,142,260,332.29/385,549.66
  6. Step 6: Final answer
    x = 223,427.15

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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.