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Finding the Fourth Proportional to 407,730.40, 610,429.20 and 407,730.40

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Solution

The fourth proportional to 407,730.40, 610,429.20 and 407,730.40 is: 610,429.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,730.40 : 610,429.20 = 407,730.40 : x
  2. Step 2: Convert to fraction form
    407,730.40/610,429.20 = 407,730.40/x
  3. Step 3: Cross multiply
    407,730.40x = 610,429.20 × 407,730.40
  4. Step 4: Simplify right side
    407,730.40x = 248,890,541,887.68
  5. Step 5: Solve for x
    x = 248,890,541,887.68/407,730.40
  6. Step 6: Final answer
    x = 610,429.20

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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.