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Finding the Fourth Proportional to 586,654, 809,582.64 and 318,382

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Solution

The fourth proportional to 586,654, 809,582.64 and 318,382 is: 439,367.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,654 : 809,582.64 = 318,382 : x
  2. Step 2: Convert to fraction form
    586,654/809,582.64 = 318,382/x
  3. Step 3: Cross multiply
    586,654x = 809,582.64 × 318,382
  4. Step 4: Simplify right side
    586,654x = 257,756,540,088.48
  5. Step 5: Solve for x
    x = 257,756,540,088.48/586,654
  6. Step 6: Final answer
    x = 439,367.23

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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.