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Finding the Fourth Proportional to 713,155.47, 984,009.11 and 422,638.98

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Solution

The fourth proportional to 713,155.47, 984,009.11 and 422,638.98 is: 583,155.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,155.47 : 984,009.11 = 422,638.98 : x
  2. Step 2: Convert to fraction form
    713,155.47/984,009.11 = 422,638.98/x
  3. Step 3: Cross multiply
    713,155.47x = 984,009.11 × 422,638.98
  4. Step 4: Simplify right side
    713,155.47x = 415,880,604,447.91
  5. Step 5: Solve for x
    x = 415,880,604,447.91/713,155.47
  6. Step 6: Final answer
    x = 583,155.60

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1.5x scale

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.