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Finding the Fourth Proportional to 413,143.70, 619,715.55 and 413,143.70

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Solution

The fourth proportional to 413,143.70, 619,715.55 and 413,143.70 is: 619,715.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,143.70 : 619,715.55 = 413,143.70 : x
  2. Step 2: Convert to fraction form
    413,143.70/619,715.55 = 413,143.70/x
  3. Step 3: Cross multiply
    413,143.70x = 619,715.55 × 413,143.70
  4. Step 4: Simplify right side
    413,143.70x = 256,031,575,274.54
  5. Step 5: Solve for x
    x = 256,031,575,274.54/413,143.70
  6. Step 6: Final answer
    x = 619,715.55

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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.