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Finding the Fourth Proportional to 415,438.80, 623,158.20 and 412,814.40

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Solution

The fourth proportional to 415,438.80, 623,158.20 and 412,814.40 is: 619,221.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,438.80 : 623,158.20 = 412,814.40 : x
  2. Step 2: Convert to fraction form
    415,438.80/623,158.20 = 412,814.40/x
  3. Step 3: Cross multiply
    415,438.80x = 623,158.20 × 412,814.40
  4. Step 4: Simplify right side
    415,438.80x = 257,248,678,438.08
  5. Step 5: Solve for x
    x = 257,248,678,438.08/415,438.80
  6. Step 6: Final answer
    x = 619,221.60

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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.