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Finding the Fourth Proportional to 586,414.80, 808,835.36 and 538,172.64

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Solution

The fourth proportional to 586,414.80, 808,835.36 and 538,172.64 is: 742,295.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,414.80 : 808,835.36 = 538,172.64 : x
  2. Step 2: Convert to fraction form
    586,414.80/808,835.36 = 538,172.64/x
  3. Step 3: Cross multiply
    586,414.80x = 808,835.36 × 538,172.64
  4. Step 4: Simplify right side
    586,414.80x = 435,293,061,016.55
  5. Step 5: Solve for x
    x = 435,293,061,016.55/586,414.80
  6. Step 6: Final answer
    x = 742,295.49

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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.