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Finding the Fourth Proportional to 586,564.74, 809,456.46 and 318,292.74

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Solution

The fourth proportional to 586,564.74, 809,456.46 and 318,292.74 is: 439,242.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,564.74 : 809,456.46 = 318,292.74 : x
  2. Step 2: Convert to fraction form
    586,564.74/809,456.46 = 318,292.74/x
  3. Step 3: Cross multiply
    586,564.74x = 809,456.46 × 318,292.74
  4. Step 4: Simplify right side
    586,564.74x = 257,644,114,564.10
  5. Step 5: Solve for x
    x = 257,644,114,564.10/586,564.74
  6. Step 6: Final answer
    x = 439,242.42

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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.