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Finding the Fourth Proportional to 347,206.32, 519,960.18 and 313,548.40

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Solution

The fourth proportional to 347,206.32, 519,960.18 and 313,548.40 is: 469,555.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,206.32 : 519,960.18 = 313,548.40 : x
  2. Step 2: Convert to fraction form
    347,206.32/519,960.18 = 313,548.40/x
  3. Step 3: Cross multiply
    347,206.32x = 519,960.18 × 313,548.40
  4. Step 4: Simplify right side
    347,206.32x = 163,032,682,502.71
  5. Step 5: Solve for x
    x = 163,032,682,502.71/347,206.32
  6. Step 6: Final answer
    x = 469,555.63

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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.