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Finding the Fourth Proportional to 429,702.76, 643,923.24 and 216,177.18

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Solution

The fourth proportional to 429,702.76, 643,923.24 and 216,177.18 is: 323,948.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,702.76 : 643,923.24 = 216,177.18 : x
  2. Step 2: Convert to fraction form
    429,702.76/643,923.24 = 216,177.18/x
  3. Step 3: Cross multiply
    429,702.76x = 643,923.24 × 216,177.18
  4. Step 4: Simplify right side
    429,702.76x = 139,201,510,159.66
  5. Step 5: Solve for x
    x = 139,201,510,159.66/429,702.76
  6. Step 6: Final answer
    x = 323,948.37

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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.