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Finding the Fourth Proportional to 657,459.20, 985,612.80 and 446,412.80

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Solution

The fourth proportional to 657,459.20, 985,612.80 and 446,412.80 is: 669,228.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,459.20 : 985,612.80 = 446,412.80 : x
  2. Step 2: Convert to fraction form
    657,459.20/985,612.80 = 446,412.80/x
  3. Step 3: Cross multiply
    657,459.20x = 985,612.80 × 446,412.80
  4. Step 4: Simplify right side
    657,459.20x = 439,990,169,763.84
  5. Step 5: Solve for x
    x = 439,990,169,763.84/657,459.20
  6. Step 6: Final answer
    x = 669,228.10

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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.