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Finding the Fourth Proportional to 586,546, 809,434.02 and 318,274

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Solution

The fourth proportional to 586,546, 809,434.02 and 318,274 is: 439,218.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,546 : 809,434.02 = 318,274 : x
  2. Step 2: Convert to fraction form
    586,546/809,434.02 = 318,274/x
  3. Step 3: Cross multiply
    586,546x = 809,434.02 × 318,274
  4. Step 4: Simplify right side
    586,546x = 257,621,803,281.48
  5. Step 5: Solve for x
    x = 257,621,803,281.48/586,546
  6. Step 6: Final answer
    x = 439,218.41

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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.