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Finding the Fourth Proportional to 315,569.31, 473,358.15 and 105,207.32

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Solution

The fourth proportional to 315,569.31, 473,358.15 and 105,207.32 is: 157,812.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,569.31 : 473,358.15 = 105,207.32 : x
  2. Step 2: Convert to fraction form
    315,569.31/473,358.15 = 105,207.32/x
  3. Step 3: Cross multiply
    315,569.31x = 473,358.15 × 105,207.32
  4. Step 4: Simplify right side
    315,569.31x = 49,800,739,994.87
  5. Step 5: Solve for x
    x = 49,800,739,994.87/315,569.31
  6. Step 6: Final answer
    x = 157,812.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.