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Finding the Fourth Proportional to 429,070.40, 643,356.35 and 162,685.61

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Solution

The fourth proportional to 429,070.40, 643,356.35 and 162,685.61 is: 243,933.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,070.40 : 643,356.35 = 162,685.61 : x
  2. Step 2: Convert to fraction form
    429,070.40/643,356.35 = 162,685.61/x
  3. Step 3: Cross multiply
    429,070.40x = 643,356.35 × 162,685.61
  4. Step 4: Simplify right side
    429,070.40x = 104,664,820,247.12
  5. Step 5: Solve for x
    x = 104,664,820,247.12/429,070.40
  6. Step 6: Final answer
    x = 243,933.91

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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.