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Finding the Fourth Proportional to 410,319.36, 615,472.65 and 210,524.45

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Solution

The fourth proportional to 410,319.36, 615,472.65 and 210,524.45 is: 315,783.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,319.36 : 615,472.65 = 210,524.45 : x
  2. Step 2: Convert to fraction form
    410,319.36/615,472.65 = 210,524.45/x
  3. Step 3: Cross multiply
    410,319.36x = 615,472.65 × 210,524.45
  4. Step 4: Simplify right side
    410,319.36x = 129,572,038,053.93
  5. Step 5: Solve for x
    x = 129,572,038,053.93/410,319.36
  6. Step 6: Final answer
    x = 315,783.39

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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.