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Finding the Fourth Proportional to 315,569.81, 473,358.90 and 105,207.82

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Solution

The fourth proportional to 315,569.81, 473,358.90 and 105,207.82 is: 157,813.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,569.81 : 473,358.90 = 105,207.82 : x
  2. Step 2: Convert to fraction form
    315,569.81/473,358.90 = 105,207.82/x
  3. Step 3: Cross multiply
    315,569.81x = 473,358.90 × 105,207.82
  4. Step 4: Simplify right side
    315,569.81x = 49,801,057,946.60
  5. Step 5: Solve for x
    x = 49,801,057,946.60/315,569.81
  6. Step 6: Final answer
    x = 157,813.13

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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.