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Finding the Fourth Proportional to 502,040.16, 692,887.92 and 300,854.88

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Solution

The fourth proportional to 502,040.16, 692,887.92 and 300,854.88 is: 415,223.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,040.16 : 692,887.92 = 300,854.88 : x
  2. Step 2: Convert to fraction form
    502,040.16/692,887.92 = 300,854.88/x
  3. Step 3: Cross multiply
    502,040.16x = 692,887.92 × 300,854.88
  4. Step 4: Simplify right side
    502,040.16x = 208,458,712,025.05
  5. Step 5: Solve for x
    x = 208,458,712,025.05/502,040.16
  6. Step 6: Final answer
    x = 415,223.18

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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.