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Finding the Fourth Proportional to 514,664.62, 710,226.56 and 285,220.10

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Solution

The fourth proportional to 514,664.62, 710,226.56 and 285,220.10 is: 393,597.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,664.62 : 710,226.56 = 285,220.10 : x
  2. Step 2: Convert to fraction form
    514,664.62/710,226.56 = 285,220.10/x
  3. Step 3: Cross multiply
    514,664.62x = 710,226.56 × 285,220.10
  4. Step 4: Simplify right side
    514,664.62x = 202,570,892,954.47
  5. Step 5: Solve for x
    x = 202,570,892,954.47/514,664.62
  6. Step 6: Final answer
    x = 393,597.86

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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.