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Finding the Fourth Proportional to 708,653.34, 977,697.51 and 493,714.98

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Solution

The fourth proportional to 708,653.34, 977,697.51 and 493,714.98 is: 681,156.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,653.34 : 977,697.51 = 493,714.98 : x
  2. Step 2: Convert to fraction form
    708,653.34/977,697.51 = 493,714.98/x
  3. Step 3: Cross multiply
    708,653.34x = 977,697.51 × 493,714.98
  4. Step 4: Simplify right side
    708,653.34x = 482,703,906,595.70
  5. Step 5: Solve for x
    x = 482,703,906,595.70/708,653.34
  6. Step 6: Final answer
    x = 681,156.61

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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.