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Finding the Fourth Proportional to 463,482.80, 695,224.20 and 285,412.40

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Solution

The fourth proportional to 463,482.80, 695,224.20 and 285,412.40 is: 428,118.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,482.80 : 695,224.20 = 285,412.40 : x
  2. Step 2: Convert to fraction form
    463,482.80/695,224.20 = 285,412.40/x
  3. Step 3: Cross multiply
    463,482.80x = 695,224.20 × 285,412.40
  4. Step 4: Simplify right side
    463,482.80x = 198,425,607,460.08
  5. Step 5: Solve for x
    x = 198,425,607,460.08/463,482.80
  6. Step 6: Final answer
    x = 428,118.60

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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.