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Finding the Fourth Proportional to 430,702.40, 646,004.16 and 115,183.91

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Solution

The fourth proportional to 430,702.40, 646,004.16 and 115,183.91 is: 172,762.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,702.40 : 646,004.16 = 115,183.91 : x
  2. Step 2: Convert to fraction form
    430,702.40/646,004.16 = 115,183.91/x
  3. Step 3: Cross multiply
    430,702.40x = 646,004.16 × 115,183.91
  4. Step 4: Simplify right side
    430,702.40x = 74,409,281,795.04
  5. Step 5: Solve for x
    x = 74,409,281,795.04/430,702.40
  6. Step 6: Final answer
    x = 172,762.64

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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.