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Finding the Fourth Proportional to 586,610.85, 809,104.71 and 538,368.21

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Solution

The fourth proportional to 586,610.85, 809,104.71 and 538,368.21 is: 742,564.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,610.85 : 809,104.71 = 538,368.21 : x
  2. Step 2: Convert to fraction form
    586,610.85/809,104.71 = 538,368.21/x
  3. Step 3: Cross multiply
    586,610.85x = 809,104.71 × 538,368.21
  4. Step 4: Simplify right side
    586,610.85x = 435,596,254,425.27
  5. Step 5: Solve for x
    x = 435,596,254,425.27/586,610.85
  6. Step 6: Final answer
    x = 742,564.26

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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.