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Finding the Fourth Proportional to 708,133.96, 977,225 and 385,844.10

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Solution

The fourth proportional to 708,133.96, 977,225 and 385,844.10 is: 532,464.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,133.96 : 977,225 = 385,844.10 : x
  2. Step 2: Convert to fraction form
    708,133.96/977,225 = 385,844.10/x
  3. Step 3: Cross multiply
    708,133.96x = 977,225 × 385,844.10
  4. Step 4: Simplify right side
    708,133.96x = 377,056,500,622.50
  5. Step 5: Solve for x
    x = 377,056,500,622.50/708,133.96
  6. Step 6: Final answer
    x = 532,464.93

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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.