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Finding the Fourth Proportional to 461,666.70, 690,924.60 and 386,871.30

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Solution

The fourth proportional to 461,666.70, 690,924.60 and 386,871.30 is: 578,986.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,666.70 : 690,924.60 = 386,871.30 : x
  2. Step 2: Convert to fraction form
    461,666.70/690,924.60 = 386,871.30/x
  3. Step 3: Cross multiply
    461,666.70x = 690,924.60 × 386,871.30
  4. Step 4: Simplify right side
    461,666.70x = 267,298,898,203.98
  5. Step 5: Solve for x
    x = 267,298,898,203.98/461,666.70
  6. Step 6: Final answer
    x = 578,986.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.