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Finding the Fourth Proportional to 708,604, 977,912.40 and 406,817.44

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Solution

The fourth proportional to 708,604, 977,912.40 and 406,817.44 is: 561,430.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,604 : 977,912.40 = 406,817.44 : x
  2. Step 2: Convert to fraction form
    708,604/977,912.40 = 406,817.44/x
  3. Step 3: Cross multiply
    708,604x = 977,912.40 × 406,817.44
  4. Step 4: Simplify right side
    708,604x = 397,831,819,112.26
  5. Step 5: Solve for x
    x = 397,831,819,112.26/708,604
  6. Step 6: Final answer
    x = 561,430.39

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1.5x scale

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.