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Finding the Fourth Proportional to 514,721.68, 710,297.62 and 285,300.31

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Solution

The fourth proportional to 514,721.68, 710,297.62 and 285,300.31 is: 393,704.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,721.68 : 710,297.62 = 285,300.31 : x
  2. Step 2: Convert to fraction form
    514,721.68/710,297.62 = 285,300.31/x
  3. Step 3: Cross multiply
    514,721.68x = 710,297.62 × 285,300.31
  4. Step 4: Simplify right side
    514,721.68x = 202,648,131,178.26
  5. Step 5: Solve for x
    x = 202,648,131,178.26/514,721.68
  6. Step 6: Final answer
    x = 393,704.29

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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.