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Finding the Fourth Proportional to 525,343.32, 724,962.96 and 321,378.84

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Solution

The fourth proportional to 525,343.32, 724,962.96 and 321,378.84 is: 443,496.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,343.32 : 724,962.96 = 321,378.84 : x
  2. Step 2: Convert to fraction form
    525,343.32/724,962.96 = 321,378.84/x
  3. Step 3: Cross multiply
    525,343.32x = 724,962.96 × 321,378.84
  4. Step 4: Simplify right side
    525,343.32x = 232,987,755,127.77
  5. Step 5: Solve for x
    x = 232,987,755,127.77/525,343.32
  6. Step 6: Final answer
    x = 443,496.18

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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.