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Finding the Fourth Proportional to 500,407.88, 689,876.40 and 316,554.98

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Solution

The fourth proportional to 500,407.88, 689,876.40 and 316,554.98 is: 436,411.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,407.88 : 689,876.40 = 316,554.98 : x
  2. Step 2: Convert to fraction form
    500,407.88/689,876.40 = 316,554.98/x
  3. Step 3: Cross multiply
    500,407.88x = 689,876.40 × 316,554.98
  4. Step 4: Simplify right side
    500,407.88x = 218,383,810,004.47
  5. Step 5: Solve for x
    x = 218,383,810,004.47/500,407.88
  6. Step 6: Final answer
    x = 436,411.61

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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.