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Finding the Fourth Proportional to 315,479.40, 473,294.43 and 105,119.16

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Solution

The fourth proportional to 315,479.40, 473,294.43 and 105,119.16 is: 157,703.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,479.40 : 473,294.43 = 105,119.16 : x
  2. Step 2: Convert to fraction form
    315,479.40/473,294.43 = 105,119.16/x
  3. Step 3: Cross multiply
    315,479.40x = 473,294.43 × 105,119.16
  4. Step 4: Simplify right side
    315,479.40x = 49,752,312,914.28
  5. Step 5: Solve for x
    x = 49,752,312,914.28/315,479.40
  6. Step 6: Final answer
    x = 157,703.84

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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.