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Finding the Fourth Proportional to 601,609.34, 830,598.40 and 387,122.16

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Solution

The fourth proportional to 601,609.34, 830,598.40 and 387,122.16 is: 534,471.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,609.34 : 830,598.40 = 387,122.16 : x
  2. Step 2: Convert to fraction form
    601,609.34/830,598.40 = 387,122.16/x
  3. Step 3: Cross multiply
    601,609.34x = 830,598.40 × 387,122.16
  4. Step 4: Simplify right side
    601,609.34x = 321,543,046,700.54
  5. Step 5: Solve for x
    x = 321,543,046,700.54/601,609.34
  6. Step 6: Final answer
    x = 534,471.50

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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.