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Finding the Fourth Proportional to 315,564.41, 473,346.54 and 78,907.07

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Solution

The fourth proportional to 315,564.41, 473,346.54 and 78,907.07 is: 118,360.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,564.41 : 473,346.54 = 78,907.07 : x
  2. Step 2: Convert to fraction form
    315,564.41/473,346.54 = 78,907.07/x
  3. Step 3: Cross multiply
    315,564.41x = 473,346.54 × 78,907.07
  4. Step 4: Simplify right side
    315,564.41x = 37,350,389,749.40
  5. Step 5: Solve for x
    x = 37,350,389,749.40/315,564.41
  6. Step 6: Final answer
    x = 118,360.59

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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.