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Finding the Fourth Proportional to 347,339.40, 521,009.10 and 205,038.60

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Solution

The fourth proportional to 347,339.40, 521,009.10 and 205,038.60 is: 307,557.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,339.40 : 521,009.10 = 205,038.60 : x
  2. Step 2: Convert to fraction form
    347,339.40/521,009.10 = 205,038.60/x
  3. Step 3: Cross multiply
    347,339.40x = 521,009.10 × 205,038.60
  4. Step 4: Simplify right side
    347,339.40x = 106,826,976,451.26
  5. Step 5: Solve for x
    x = 106,826,976,451.26/347,339.40
  6. Step 6: Final answer
    x = 307,557.90

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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.