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Finding the Fourth Proportional to 385,454.64, 577,935.32 and 185,376.54

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Solution

The fourth proportional to 385,454.64, 577,935.32 and 185,376.54 is: 277,946.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,454.64 : 577,935.32 = 185,376.54 : x
  2. Step 2: Convert to fraction form
    385,454.64/577,935.32 = 185,376.54/x
  3. Step 3: Cross multiply
    385,454.64x = 577,935.32 × 185,376.54
  4. Step 4: Simplify right side
    385,454.64x = 107,135,649,038.51
  5. Step 5: Solve for x
    x = 107,135,649,038.51/385,454.64
  6. Step 6: Final answer
    x = 277,946.19

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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.