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Finding the Fourth Proportional to 412,235.28, 617,547.60 and 284,128.80

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Solution

The fourth proportional to 412,235.28, 617,547.60 and 284,128.80 is: 425,638.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,235.28 : 617,547.60 = 284,128.80 : x
  2. Step 2: Convert to fraction form
    412,235.28/617,547.60 = 284,128.80/x
  3. Step 3: Cross multiply
    412,235.28x = 617,547.60 × 284,128.80
  4. Step 4: Simplify right side
    412,235.28x = 175,463,058,530.88
  5. Step 5: Solve for x
    x = 175,463,058,530.88/412,235.28
  6. Step 6: Final answer
    x = 425,638.14

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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.