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Finding the Fourth Proportional to 392,907.11, 589,772.94 and 348,214.40

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Solution

The fourth proportional to 392,907.11, 589,772.94 and 348,214.40 is: 522,686.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,907.11 : 589,772.94 = 348,214.40 : x
  2. Step 2: Convert to fraction form
    392,907.11/589,772.94 = 348,214.40/x
  3. Step 3: Cross multiply
    392,907.11x = 589,772.94 × 348,214.40
  4. Step 4: Simplify right side
    392,907.11x = 205,367,430,438.34
  5. Step 5: Solve for x
    x = 205,367,430,438.34/392,907.11
  6. Step 6: Final answer
    x = 522,686.98

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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.