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Finding the Fourth Proportional to 515,940.93, 712,001.61 and 286,501.95

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Solution

The fourth proportional to 515,940.93, 712,001.61 and 286,501.95 is: 395,374.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,940.93 : 712,001.61 = 286,501.95 : x
  2. Step 2: Convert to fraction form
    515,940.93/712,001.61 = 286,501.95/x
  3. Step 3: Cross multiply
    515,940.93x = 712,001.61 × 286,501.95
  4. Step 4: Simplify right side
    515,940.93x = 203,989,849,668.14
  5. Step 5: Solve for x
    x = 203,989,849,668.14/515,940.93
  6. Step 6: Final answer
    x = 395,374.43

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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.