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Finding the Fourth Proportional to 647,609.12, 893,701.46 and 357,214.18

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Solution

The fourth proportional to 647,609.12, 893,701.46 and 357,214.18 is: 492,956.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,609.12 : 893,701.46 = 357,214.18 : x
  2. Step 2: Convert to fraction form
    647,609.12/893,701.46 = 357,214.18/x
  3. Step 3: Cross multiply
    647,609.12x = 893,701.46 × 357,214.18
  4. Step 4: Simplify right side
    647,609.12x = 319,242,834,198.70
  5. Step 5: Solve for x
    x = 319,242,834,198.70/647,609.12
  6. Step 6: Final answer
    x = 492,956.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.