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Finding the Fourth Proportional to 601,459.86, 830,014.59 and 329,538.07

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Solution

The fourth proportional to 601,459.86, 830,014.59 and 329,538.07 is: 454,762.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,459.86 : 830,014.59 = 329,538.07 : x
  2. Step 2: Convert to fraction form
    601,459.86/830,014.59 = 329,538.07/x
  3. Step 3: Cross multiply
    601,459.86x = 830,014.59 × 329,538.07
  4. Step 4: Simplify right side
    601,459.86x = 273,521,406,480.08
  5. Step 5: Solve for x
    x = 273,521,406,480.08/601,459.86
  6. Step 6: Final answer
    x = 454,762.53

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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.