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Finding the Fourth Proportional to 514,832.63, 710,433.20 and 285,387.71

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Solution

The fourth proportional to 514,832.63, 710,433.20 and 285,387.71 is: 393,815.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,832.63 : 710,433.20 = 285,387.71 : x
  2. Step 2: Convert to fraction form
    514,832.63/710,433.20 = 285,387.71/x
  3. Step 3: Cross multiply
    514,832.63x = 710,433.20 × 285,387.71
  4. Step 4: Simplify right side
    514,832.63x = 202,748,902,629.03
  5. Step 5: Solve for x
    x = 202,748,902,629.03/514,832.63
  6. Step 6: Final answer
    x = 393,815.18

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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.