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Finding the Fourth Proportional to 489,206.80, 734,501.40 and 302,582.80

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Solution

The fourth proportional to 489,206.80, 734,501.40 and 302,582.80 is: 454,301.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,206.80 : 734,501.40 = 302,582.80 : x
  2. Step 2: Convert to fraction form
    489,206.80/734,501.40 = 302,582.80/x
  3. Step 3: Cross multiply
    489,206.80x = 734,501.40 × 302,582.80
  4. Step 4: Simplify right side
    489,206.80x = 222,247,490,215.92
  5. Step 5: Solve for x
    x = 222,247,490,215.92/489,206.80
  6. Step 6: Final answer
    x = 454,301.72

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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.