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Finding the Fourth Proportional to 358,140.96, 494,210.16 and 207,260.64

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Solution

The fourth proportional to 358,140.96, 494,210.16 and 207,260.64 is: 286,005.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,140.96 : 494,210.16 = 207,260.64 : x
  2. Step 2: Convert to fraction form
    358,140.96/494,210.16 = 207,260.64/x
  3. Step 3: Cross multiply
    358,140.96x = 494,210.16 × 207,260.64
  4. Step 4: Simplify right side
    358,140.96x = 102,430,314,056.10
  5. Step 5: Solve for x
    x = 102,430,314,056.10/358,140.96
  6. Step 6: Final answer
    x = 286,005.58

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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.