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Finding the Fourth Proportional to 970,803.72, 1,456,069.50 and 409,707

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Solution

The fourth proportional to 970,803.72, 1,456,069.50 and 409,707 is: 614,503.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,803.72 : 1,456,069.50 = 409,707 : x
  2. Step 2: Convert to fraction form
    970,803.72/1,456,069.50 = 409,707/x
  3. Step 3: Cross multiply
    970,803.72x = 1,456,069.50 × 409,707
  4. Step 4: Simplify right side
    970,803.72x = 596,561,866,636.50
  5. Step 5: Solve for x
    x = 596,561,866,636.50/970,803.72
  6. Step 6: Final answer
    x = 614,503.07

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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.