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Finding the Fourth Proportional to 310,543.50, 428,875.32 and 213,998.39

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Solution

The fourth proportional to 310,543.50, 428,875.32 and 213,998.39 is: 295,541.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,543.50 : 428,875.32 = 213,998.39 : x
  2. Step 2: Convert to fraction form
    310,543.50/428,875.32 = 213,998.39/x
  3. Step 3: Cross multiply
    310,543.50x = 428,875.32 × 213,998.39
  4. Step 4: Simplify right side
    310,543.50x = 91,778,625,846.36
  5. Step 5: Solve for x
    x = 91,778,625,846.36/310,543.50
  6. Step 6: Final answer
    x = 295,541.93

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1.5x scale

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.