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Finding the Fourth Proportional to 402,465.80, 604,389.90 and 284,961.80

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Solution

The fourth proportional to 402,465.80, 604,389.90 and 284,961.80 is: 427,932.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,465.80 : 604,389.90 = 284,961.80 : x
  2. Step 2: Convert to fraction form
    402,465.80/604,389.90 = 284,961.80/x
  3. Step 3: Cross multiply
    402,465.80x = 604,389.90 × 284,961.80
  4. Step 4: Simplify right side
    402,465.80x = 172,228,033,805.82
  5. Step 5: Solve for x
    x = 172,228,033,805.82/402,465.80
  6. Step 6: Final answer
    x = 427,932.10

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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.