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Finding the Fourth Proportional to 470,730.40, 649,756.56 and 300,965.20

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Solution

The fourth proportional to 470,730.40, 649,756.56 and 300,965.20 is: 415,426.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,730.40 : 649,756.56 = 300,965.20 : x
  2. Step 2: Convert to fraction form
    470,730.40/649,756.56 = 300,965.20/x
  3. Step 3: Cross multiply
    470,730.40x = 649,756.56 × 300,965.20
  4. Step 4: Simplify right side
    470,730.40x = 195,554,113,031.71
  5. Step 5: Solve for x
    x = 195,554,113,031.71/470,730.40
  6. Step 6: Final answer
    x = 415,426.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.