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Finding the Fourth Proportional to 315,570.81, 473,360.40 and 105,208.82

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Solution

The fourth proportional to 315,570.81, 473,360.40 and 105,208.82 is: 157,814.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,570.81 : 473,360.40 = 105,208.82 : x
  2. Step 2: Convert to fraction form
    315,570.81/473,360.40 = 105,208.82/x
  3. Step 3: Cross multiply
    315,570.81x = 473,360.40 × 105,208.82
  4. Step 4: Simplify right side
    315,570.81x = 49,801,686,751.93
  5. Step 5: Solve for x
    x = 49,801,686,751.93/315,570.81
  6. Step 6: Final answer
    x = 157,814.62

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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.