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Finding the Fourth Proportional to 385,582.44, 577,367.64 and 310,291.32

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Solution

The fourth proportional to 385,582.44, 577,367.64 and 310,291.32 is: 464,627.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,582.44 : 577,367.64 = 310,291.32 : x
  2. Step 2: Convert to fraction form
    385,582.44/577,367.64 = 310,291.32/x
  3. Step 3: Cross multiply
    385,582.44x = 577,367.64 × 310,291.32
  4. Step 4: Simplify right side
    385,582.44x = 179,152,167,140.89
  5. Step 5: Solve for x
    x = 179,152,167,140.89/385,582.44
  6. Step 6: Final answer
    x = 464,627.40

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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.