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Finding the Fourth Proportional to 712,802.25, 983,668.91 and 390,518.73

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Solution

The fourth proportional to 712,802.25, 983,668.91 and 390,518.73 is: 538,916.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,802.25 : 983,668.91 = 390,518.73 : x
  2. Step 2: Convert to fraction form
    712,802.25/983,668.91 = 390,518.73/x
  3. Step 3: Cross multiply
    712,802.25x = 983,668.91 × 390,518.73
  4. Step 4: Simplify right side
    712,802.25x = 384,141,131,521.09
  5. Step 5: Solve for x
    x = 384,141,131,521.09/712,802.25
  6. Step 6: Final answer
    x = 538,916.83

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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.