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Finding the Fourth Proportional to 610,829.90, 918,213.15 and 434,557.70

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Solution

The fourth proportional to 610,829.90, 918,213.15 and 434,557.70 is: 653,236.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,829.90 : 918,213.15 = 434,557.70 : x
  2. Step 2: Convert to fraction form
    610,829.90/918,213.15 = 434,557.70/x
  3. Step 3: Cross multiply
    610,829.90x = 918,213.15 × 434,557.70
  4. Step 4: Simplify right side
    610,829.90x = 399,016,594,573.76
  5. Step 5: Solve for x
    x = 399,016,594,573.76/610,829.90
  6. Step 6: Final answer
    x = 653,236.84

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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.