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Finding the Fourth Proportional to 713,408.12, 984,502.94 and 391,111.30

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Solution

The fourth proportional to 713,408.12, 984,502.94 and 391,111.30 is: 539,733.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,408.12 : 984,502.94 = 391,111.30 : x
  2. Step 2: Convert to fraction form
    713,408.12/984,502.94 = 391,111.30/x
  3. Step 3: Cross multiply
    713,408.12x = 984,502.94 × 391,111.30
  4. Step 4: Simplify right side
    713,408.12x = 385,050,220,300.41
  5. Step 5: Solve for x
    x = 385,050,220,300.41/713,408.12
  6. Step 6: Final answer
    x = 539,733.45

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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.