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Finding the Fourth Proportional to 442,165.89, 610,015.71 and 272,104.77

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Solution

The fourth proportional to 442,165.89, 610,015.71 and 272,104.77 is: 375,397.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,165.89 : 610,015.71 = 272,104.77 : x
  2. Step 2: Convert to fraction form
    442,165.89/610,015.71 = 272,104.77/x
  3. Step 3: Cross multiply
    442,165.89x = 610,015.71 × 272,104.77
  4. Step 4: Simplify right side
    442,165.89x = 165,988,184,465.94
  5. Step 5: Solve for x
    x = 165,988,184,465.94/442,165.89
  6. Step 6: Final answer
    x = 375,397.99

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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.