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Finding the Fourth Proportional to 435,840, 601,320.96 and 265,989.12

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Solution

The fourth proportional to 435,840, 601,320.96 and 265,989.12 is: 366,980.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,840 : 601,320.96 = 265,989.12 : x
  2. Step 2: Convert to fraction form
    435,840/601,320.96 = 265,989.12/x
  3. Step 3: Cross multiply
    435,840x = 601,320.96 × 265,989.12
  4. Step 4: Simplify right side
    435,840x = 159,944,832,987.96
  5. Step 5: Solve for x
    x = 159,944,832,987.96/435,840
  6. Step 6: Final answer
    x = 366,980.62

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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.