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Finding the Fourth Proportional to 515,821.08, 711,801.12 and 286,365

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Solution

The fourth proportional to 515,821.08, 711,801.12 and 286,365 is: 395,165.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,821.08 : 711,801.12 = 286,365 : x
  2. Step 2: Convert to fraction form
    515,821.08/711,801.12 = 286,365/x
  3. Step 3: Cross multiply
    515,821.08x = 711,801.12 × 286,365
  4. Step 4: Simplify right side
    515,821.08x = 203,834,927,728.80
  5. Step 5: Solve for x
    x = 203,834,927,728.80/515,821.08
  6. Step 6: Final answer
    x = 395,165.95

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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.