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Finding the Fourth Proportional to 805,407.40, 1,208,456.70 and 411,423.40

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Solution

The fourth proportional to 805,407.40, 1,208,456.70 and 411,423.40 is: 617,311.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    805,407.40 : 1,208,456.70 = 411,423.40 : x
  2. Step 2: Convert to fraction form
    805,407.40/1,208,456.70 = 411,423.40/x
  3. Step 3: Cross multiply
    805,407.40x = 1,208,456.70 × 411,423.40
  4. Step 4: Simplify right side
    805,407.40x = 497,187,364,266.78
  5. Step 5: Solve for x
    x = 497,187,364,266.78/805,407.40
  6. Step 6: Final answer
    x = 617,311.64

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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.