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Finding the Fourth Proportional to 708,598.98, 977,954.85 and 406,786.50

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Solution

The fourth proportional to 708,598.98, 977,954.85 and 406,786.50 is: 561,416.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,598.98 : 977,954.85 = 406,786.50 : x
  2. Step 2: Convert to fraction form
    708,598.98/977,954.85 = 406,786.50/x
  3. Step 3: Cross multiply
    708,598.98x = 977,954.85 × 406,786.50
  4. Step 4: Simplify right side
    708,598.98x = 397,818,830,589.53
  5. Step 5: Solve for x
    x = 397,818,830,589.53/708,598.98
  6. Step 6: Final answer
    x = 561,416.04

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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.