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Finding the Fourth Proportional to 586,512, 809,386.56 and 318,240

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Solution

The fourth proportional to 586,512, 809,386.56 and 318,240 is: 439,171.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,512 : 809,386.56 = 318,240 : x
  2. Step 2: Convert to fraction form
    586,512/809,386.56 = 318,240/x
  3. Step 3: Cross multiply
    586,512x = 809,386.56 × 318,240
  4. Step 4: Simplify right side
    586,512x = 257,579,178,854.40
  5. Step 5: Solve for x
    x = 257,579,178,854.40/586,512
  6. Step 6: Final answer
    x = 439,171.20

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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.