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Finding the Fourth Proportional to 315,402.76, 435,204.50 and 186,323.29

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Solution

The fourth proportional to 315,402.76, 435,204.50 and 186,323.29 is: 257,095.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,402.76 : 435,204.50 = 186,323.29 : x
  2. Step 2: Convert to fraction form
    315,402.76/435,204.50 = 186,323.29/x
  3. Step 3: Cross multiply
    315,402.76x = 435,204.50 × 186,323.29
  4. Step 4: Simplify right side
    315,402.76x = 81,088,732,243.18
  5. Step 5: Solve for x
    x = 81,088,732,243.18/315,402.76
  6. Step 6: Final answer
    x = 257,095.82

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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.