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Finding the Fourth Proportional to 465,416.96, 698,165.58 and 128,457.61

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Solution

The fourth proportional to 465,416.96, 698,165.58 and 128,457.61 is: 192,697.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,416.96 : 698,165.58 = 128,457.61 : x
  2. Step 2: Convert to fraction form
    465,416.96/698,165.58 = 128,457.61/x
  3. Step 3: Cross multiply
    465,416.96x = 698,165.58 × 128,457.61
  4. Step 4: Simplify right side
    465,416.96x = 89,684,683,145.49
  5. Step 5: Solve for x
    x = 89,684,683,145.49/465,416.96
  6. Step 6: Final answer
    x = 192,697.50

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1.5x scale

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.