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Finding the Fourth Proportional to 704,108.66, 971,669.58 and 381,817.76

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Solution

The fourth proportional to 704,108.66, 971,669.58 and 381,817.76 is: 526,908.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,108.66 : 971,669.58 = 381,817.76 : x
  2. Step 2: Convert to fraction form
    704,108.66/971,669.58 = 381,817.76/x
  3. Step 3: Cross multiply
    704,108.66x = 971,669.58 × 381,817.76
  4. Step 4: Simplify right side
    704,108.66x = 371,000,702,495.74
  5. Step 5: Solve for x
    x = 371,000,702,495.74/704,108.66
  6. Step 6: Final answer
    x = 526,908.31

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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.