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Finding the Fourth Proportional to 470,411.86, 649,271.67 and 309,281.90

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Solution

The fourth proportional to 470,411.86, 649,271.67 and 309,281.90 is: 426,876.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,411.86 : 649,271.67 = 309,281.90 : x
  2. Step 2: Convert to fraction form
    470,411.86/649,271.67 = 309,281.90/x
  3. Step 3: Cross multiply
    470,411.86x = 649,271.67 × 309,281.90
  4. Step 4: Simplify right side
    470,411.86x = 200,807,976,656.29
  5. Step 5: Solve for x
    x = 200,807,976,656.29/470,411.86
  6. Step 6: Final answer
    x = 426,876.94

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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.