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Finding the Fourth Proportional to 429,063.30, 643,303.35 and 162,783.90

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Solution

The fourth proportional to 429,063.30, 643,303.35 and 162,783.90 is: 244,065.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,063.30 : 643,303.35 = 162,783.90 : x
  2. Step 2: Convert to fraction form
    429,063.30/643,303.35 = 162,783.90/x
  3. Step 3: Cross multiply
    429,063.30x = 643,303.35 × 162,783.90
  4. Step 4: Simplify right side
    429,063.30x = 104,719,428,196.07
  5. Step 5: Solve for x
    x = 104,719,428,196.07/429,063.30
  6. Step 6: Final answer
    x = 244,065.22

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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.