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Finding the Fourth Proportional to 549,216.50, 757,930.29 and 310,752.50

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Solution

The fourth proportional to 549,216.50, 757,930.29 and 310,752.50 is: 428,844.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,216.50 : 757,930.29 = 310,752.50 : x
  2. Step 2: Convert to fraction form
    549,216.50/757,930.29 = 310,752.50/x
  3. Step 3: Cross multiply
    549,216.50x = 757,930.29 × 310,752.50
  4. Step 4: Simplify right side
    549,216.50x = 235,528,732,443.23
  5. Step 5: Solve for x
    x = 235,528,732,443.23/549,216.50
  6. Step 6: Final answer
    x = 428,844.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.