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Finding the Fourth Proportional to 315,580.80, 473,373.60 and 105,218.40

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Solution

The fourth proportional to 315,580.80, 473,373.60 and 105,218.40 is: 157,828.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,580.80 : 473,373.60 = 105,218.40 : x
  2. Step 2: Convert to fraction form
    315,580.80/473,373.60 = 105,218.40/x
  3. Step 3: Cross multiply
    315,580.80x = 473,373.60 × 105,218.40
  4. Step 4: Simplify right side
    315,580.80x = 49,807,612,794.24
  5. Step 5: Solve for x
    x = 49,807,612,794.24/315,580.80
  6. Step 6: Final answer
    x = 157,828.40

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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.