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Finding the Fourth Proportional to 601,953.92, 830,699.52 and 347,315.84

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Solution

The fourth proportional to 601,953.92, 830,699.52 and 347,315.84 is: 479,297.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,953.92 : 830,699.52 = 347,315.84 : x
  2. Step 2: Convert to fraction form
    601,953.92/830,699.52 = 347,315.84/x
  3. Step 3: Cross multiply
    601,953.92x = 830,699.52 × 347,315.84
  4. Step 4: Simplify right side
    601,953.92x = 288,515,101,576.40
  5. Step 5: Solve for x
    x = 288,515,101,576.40/601,953.92
  6. Step 6: Final answer
    x = 479,297.65

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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.