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Finding the Fourth Proportional to 514,835.13, 710,436.64 and 285,390.21

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Solution

The fourth proportional to 514,835.13, 710,436.64 and 285,390.21 is: 393,818.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,835.13 : 710,436.64 = 285,390.21 : x
  2. Step 2: Convert to fraction form
    514,835.13/710,436.64 = 285,390.21/x
  3. Step 3: Cross multiply
    514,835.13x = 710,436.64 × 285,390.21
  4. Step 4: Simplify right side
    514,835.13x = 202,751,661,881.29
  5. Step 5: Solve for x
    x = 202,751,661,881.29/514,835.13
  6. Step 6: Final answer
    x = 393,818.62

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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.