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Finding the Fourth Proportional to 613,909.76, 847,083.04 and 341,970.89

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Solution

The fourth proportional to 613,909.76, 847,083.04 and 341,970.89 is: 471,857.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,909.76 : 847,083.04 = 341,970.89 : x
  2. Step 2: Convert to fraction form
    613,909.76/847,083.04 = 341,970.89/x
  3. Step 3: Cross multiply
    613,909.76x = 847,083.04 × 341,970.89
  4. Step 4: Simplify right side
    613,909.76x = 289,677,736,002.36
  5. Step 5: Solve for x
    x = 289,677,736,002.36/613,909.76
  6. Step 6: Final answer
    x = 471,857.20

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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.