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Finding the Fourth Proportional to 399,698.10, 598,672.35 and 347,210.10

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Solution

The fourth proportional to 399,698.10, 598,672.35 and 347,210.10 is: 520,055.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,698.10 : 598,672.35 = 347,210.10 : x
  2. Step 2: Convert to fraction form
    399,698.10/598,672.35 = 347,210.10/x
  3. Step 3: Cross multiply
    399,698.10x = 598,672.35 × 347,210.10
  4. Step 4: Simplify right side
    399,698.10x = 207,865,086,510.74
  5. Step 5: Solve for x
    x = 207,865,086,510.74/399,698.10
  6. Step 6: Final answer
    x = 520,055.23

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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.