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Finding the Fourth Proportional to 435,209.21, 600,434.74 and 284,393.69

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Solution

The fourth proportional to 435,209.21, 600,434.74 and 284,393.69 is: 392,362.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,209.21 : 600,434.74 = 284,393.69 : x
  2. Step 2: Convert to fraction form
    435,209.21/600,434.74 = 284,393.69/x
  3. Step 3: Cross multiply
    435,209.21x = 600,434.74 × 284,393.69
  4. Step 4: Simplify right side
    435,209.21x = 170,759,851,312.79
  5. Step 5: Solve for x
    x = 170,759,851,312.79/435,209.21
  6. Step 6: Final answer
    x = 392,362.68

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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.