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Finding the Fourth Proportional to 610,289.74, 913,638.82 and 407,382.56

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Solution

The fourth proportional to 610,289.74, 913,638.82 and 407,382.56 is: 609,875.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,289.74 : 913,638.82 = 407,382.56 : x
  2. Step 2: Convert to fraction form
    610,289.74/913,638.82 = 407,382.56/x
  3. Step 3: Cross multiply
    610,289.74x = 913,638.82 × 407,382.56
  4. Step 4: Simplify right side
    610,289.74x = 372,200,521,908.78
  5. Step 5: Solve for x
    x = 372,200,521,908.78/610,289.74
  6. Step 6: Final answer
    x = 609,875.11

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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.