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Finding the Fourth Proportional to 429,870.80, 643,931.40 and 219,627.20

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Solution

The fourth proportional to 429,870.80, 643,931.40 and 219,627.20 is: 328,993.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,870.80 : 643,931.40 = 219,627.20 : x
  2. Step 2: Convert to fraction form
    429,870.80/643,931.40 = 219,627.20/x
  3. Step 3: Cross multiply
    429,870.80x = 643,931.40 × 219,627.20
  4. Step 4: Simplify right side
    429,870.80x = 141,424,850,374.08
  5. Step 5: Solve for x
    x = 141,424,850,374.08/429,870.80
  6. Step 6: Final answer
    x = 328,993.85

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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.