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Finding the Fourth Proportional to 430,285.20, 645,427.80 and 243,661.20

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Solution

The fourth proportional to 430,285.20, 645,427.80 and 243,661.20 is: 365,491.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,285.20 : 645,427.80 = 243,661.20 : x
  2. Step 2: Convert to fraction form
    430,285.20/645,427.80 = 243,661.20/x
  3. Step 3: Cross multiply
    430,285.20x = 645,427.80 × 243,661.20
  4. Step 4: Simplify right side
    430,285.20x = 157,265,712,261.36
  5. Step 5: Solve for x
    x = 157,265,712,261.36/430,285.20
  6. Step 6: Final answer
    x = 365,491.80

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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.