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Finding the Fourth Proportional to 457,312.80, 685,969.20 and 141,801.60

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Solution

The fourth proportional to 457,312.80, 685,969.20 and 141,801.60 is: 212,702.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,312.80 : 685,969.20 = 141,801.60 : x
  2. Step 2: Convert to fraction form
    457,312.80/685,969.20 = 141,801.60/x
  3. Step 3: Cross multiply
    457,312.80x = 685,969.20 × 141,801.60
  4. Step 4: Simplify right side
    457,312.80x = 97,271,530,110.72
  5. Step 5: Solve for x
    x = 97,271,530,110.72/457,312.80
  6. Step 6: Final answer
    x = 212,702.40

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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.