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Finding the Fourth Proportional to 684,763.20, 1,024,992 and 470,275.20

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Solution

The fourth proportional to 684,763.20, 1,024,992 and 470,275.20 is: 703,934.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,763.20 : 1,024,992 = 470,275.20 : x
  2. Step 2: Convert to fraction form
    684,763.20/1,024,992 = 470,275.20/x
  3. Step 3: Cross multiply
    684,763.20x = 1,024,992 × 470,275.20
  4. Step 4: Simplify right side
    684,763.20x = 482,028,317,798.40
  5. Step 5: Solve for x
    x = 482,028,317,798.40/684,763.20
  6. Step 6: Final answer
    x = 703,934.32

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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.