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Finding the Fourth Proportional to 601,987.61, 830,711.16 and 343,813.80

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Solution

The fourth proportional to 601,987.61, 830,711.16 and 343,813.80 is: 474,444.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,987.61 : 830,711.16 = 343,813.80 : x
  2. Step 2: Convert to fraction form
    601,987.61/830,711.16 = 343,813.80/x
  3. Step 3: Cross multiply
    601,987.61x = 830,711.16 × 343,813.80
  4. Step 4: Simplify right side
    601,987.61x = 285,609,960,622.01
  5. Step 5: Solve for x
    x = 285,609,960,622.01/601,987.61
  6. Step 6: Final answer
    x = 474,444.92

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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.