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Finding the Fourth Proportional to 430,165.20, 645,247.80 and 243,541.20

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Solution

The fourth proportional to 430,165.20, 645,247.80 and 243,541.20 is: 365,311.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,165.20 : 645,247.80 = 243,541.20 : x
  2. Step 2: Convert to fraction form
    430,165.20/645,247.80 = 243,541.20/x
  3. Step 3: Cross multiply
    430,165.20x = 645,247.80 × 243,541.20
  4. Step 4: Simplify right side
    430,165.20x = 157,144,423,509.36
  5. Step 5: Solve for x
    x = 157,144,423,509.36/430,165.20
  6. Step 6: Final answer
    x = 365,311.80

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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.