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Finding the Fourth Proportional to 586,638.81, 809,143.65 and 538,396.02

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Solution

The fourth proportional to 586,638.81, 809,143.65 and 538,396.02 is: 742,602.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,638.81 : 809,143.65 = 538,396.02 : x
  2. Step 2: Convert to fraction form
    586,638.81/809,143.65 = 538,396.02/x
  3. Step 3: Cross multiply
    586,638.81x = 809,143.65 × 538,396.02
  4. Step 4: Simplify right side
    586,638.81x = 435,639,720,768.27
  5. Step 5: Solve for x
    x = 435,639,720,768.27/586,638.81
  6. Step 6: Final answer
    x = 742,602.97

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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.