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Finding the Fourth Proportional to 426,312, 639,870.17 and 313,649.10

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Solution

The fourth proportional to 426,312, 639,870.17 and 313,649.10 is: 470,769.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,312 : 639,870.17 = 313,649.10 : x
  2. Step 2: Convert to fraction form
    426,312/639,870.17 = 313,649.10/x
  3. Step 3: Cross multiply
    426,312x = 639,870.17 × 313,649.10
  4. Step 4: Simplify right side
    426,312x = 200,694,701,369.10
  5. Step 5: Solve for x
    x = 200,694,701,369.10/426,312
  6. Step 6: Final answer
    x = 470,769.53

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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.