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Finding the Fourth Proportional to 530,611.20, 732,322.01 and 312,859.80

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Solution

The fourth proportional to 530,611.20, 732,322.01 and 312,859.80 is: 431,792.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,611.20 : 732,322.01 = 312,859.80 : x
  2. Step 2: Convert to fraction form
    530,611.20/732,322.01 = 312,859.80/x
  3. Step 3: Cross multiply
    530,611.20x = 732,322.01 × 312,859.80
  4. Step 4: Simplify right side
    530,611.20x = 229,114,116,019.90
  5. Step 5: Solve for x
    x = 229,114,116,019.90/530,611.20
  6. Step 6: Final answer
    x = 431,792.84

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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.