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Finding the Fourth Proportional to 438,422.10, 657,698.85 and 185,702.10

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Solution

The fourth proportional to 438,422.10, 657,698.85 and 185,702.10 is: 278,580.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,422.10 : 657,698.85 = 185,702.10 : x
  2. Step 2: Convert to fraction form
    438,422.10/657,698.85 = 185,702.10/x
  3. Step 3: Cross multiply
    438,422.10x = 657,698.85 × 185,702.10
  4. Step 4: Simplify right side
    438,422.10x = 122,136,057,612.59
  5. Step 5: Solve for x
    x = 122,136,057,612.59/438,422.10
  6. Step 6: Final answer
    x = 278,580.98

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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.