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Finding the Fourth Proportional to 357,333.54, 535,918.46 and 213,280

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Solution

The fourth proportional to 357,333.54, 535,918.46 and 213,280 is: 319,871.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,333.54 : 535,918.46 = 213,280 : x
  2. Step 2: Convert to fraction form
    357,333.54/535,918.46 = 213,280/x
  3. Step 3: Cross multiply
    357,333.54x = 535,918.46 × 213,280
  4. Step 4: Simplify right side
    357,333.54x = 114,300,689,148.80
  5. Step 5: Solve for x
    x = 114,300,689,148.80/357,333.54
  6. Step 6: Final answer
    x = 319,871.15

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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.