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Finding the Fourth Proportional to 586,658, 809,588.04 and 318,386

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Solution

The fourth proportional to 586,658, 809,588.04 and 318,386 is: 439,372.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,658 : 809,588.04 = 318,386 : x
  2. Step 2: Convert to fraction form
    586,658/809,588.04 = 318,386/x
  3. Step 3: Cross multiply
    586,658x = 809,588.04 × 318,386
  4. Step 4: Simplify right side
    586,658x = 257,761,497,703.44
  5. Step 5: Solve for x
    x = 257,761,497,703.44/586,658
  6. Step 6: Final answer
    x = 439,372.68

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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.