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Finding the Fourth Proportional to 399,970.31, 551,960.02 and 218,693.93

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Solution

The fourth proportional to 399,970.31, 551,960.02 and 218,693.93 is: 301,798.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,970.31 : 551,960.02 = 218,693.93 : x
  2. Step 2: Convert to fraction form
    399,970.31/551,960.02 = 218,693.93/x
  3. Step 3: Cross multiply
    399,970.31x = 551,960.02 × 218,693.93
  4. Step 4: Simplify right side
    399,970.31x = 120,710,303,490.25
  5. Step 5: Solve for x
    x = 120,710,303,490.25/399,970.31
  6. Step 6: Final answer
    x = 301,798.16

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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.