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Finding the Fourth Proportional to 461,206.60, 636,368.34 and 280,013.92

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Solution

The fourth proportional to 461,206.60, 636,368.34 and 280,013.92 is: 386,360.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,206.60 : 636,368.34 = 280,013.92 : x
  2. Step 2: Convert to fraction form
    461,206.60/636,368.34 = 280,013.92/x
  3. Step 3: Cross multiply
    461,206.60x = 636,368.34 × 280,013.92
  4. Step 4: Simplify right side
    461,206.60x = 178,191,993,447.29
  5. Step 5: Solve for x
    x = 178,191,993,447.29/461,206.60
  6. Step 6: Final answer
    x = 386,360.46

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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.