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Finding the Fourth Proportional to 613,973.50, 847,281.30 and 342,025.31

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Solution

The fourth proportional to 613,973.50, 847,281.30 and 342,025.31 is: 471,993.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,973.50 : 847,281.30 = 342,025.31 : x
  2. Step 2: Convert to fraction form
    613,973.50/847,281.30 = 342,025.31/x
  3. Step 3: Cross multiply
    613,973.50x = 847,281.30 × 342,025.31
  4. Step 4: Simplify right side
    613,973.50x = 289,791,650,125.31
  5. Step 5: Solve for x
    x = 289,791,650,125.31/613,973.50
  6. Step 6: Final answer
    x = 471,993.74

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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.