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Finding the Fourth Proportional to 712,649.93, 1,069,006.03 and 207,199.71

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Solution

The fourth proportional to 712,649.93, 1,069,006.03 and 207,199.71 is: 310,808.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,649.93 : 1,069,006.03 = 207,199.71 : x
  2. Step 2: Convert to fraction form
    712,649.93/1,069,006.03 = 207,199.71/x
  3. Step 3: Cross multiply
    712,649.93x = 1,069,006.03 × 207,199.71
  4. Step 4: Simplify right side
    712,649.93x = 221,497,740,692.50
  5. Step 5: Solve for x
    x = 221,497,740,692.50/712,649.93
  6. Step 6: Final answer
    x = 310,808.62

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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.