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Finding the Fourth Proportional to 705,294.63, 973,970.87 and 491,020.61

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Solution

The fourth proportional to 705,294.63, 973,970.87 and 491,020.61 is: 678,070.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,294.63 : 973,970.87 = 491,020.61 : x
  2. Step 2: Convert to fraction form
    705,294.63/973,970.87 = 491,020.61/x
  3. Step 3: Cross multiply
    705,294.63x = 973,970.87 × 491,020.61
  4. Step 4: Simplify right side
    705,294.63x = 478,239,763,384.67
  5. Step 5: Solve for x
    x = 478,239,763,384.67/705,294.63
  6. Step 6: Final answer
    x = 678,070.90

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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.