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Finding the Fourth Proportional to 473,478.40, 709,612.80 and 192,678.40

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Solution

The fourth proportional to 473,478.40, 709,612.80 and 192,678.40 is: 288,771.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,478.40 : 709,612.80 = 192,678.40 : x
  2. Step 2: Convert to fraction form
    473,478.40/709,612.80 = 192,678.40/x
  3. Step 3: Cross multiply
    473,478.40x = 709,612.80 × 192,678.40
  4. Step 4: Simplify right side
    473,478.40x = 136,727,058,923.52
  5. Step 5: Solve for x
    x = 136,727,058,923.52/473,478.40
  6. Step 6: Final answer
    x = 288,771.48

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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.