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Finding the Fourth Proportional to 601,992, 830,878.56 and 360,328.50

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Solution

The fourth proportional to 601,992, 830,878.56 and 360,328.50 is: 497,330.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,992 : 830,878.56 = 360,328.50 : x
  2. Step 2: Convert to fraction form
    601,992/830,878.56 = 360,328.50/x
  3. Step 3: Cross multiply
    601,992x = 830,878.56 × 360,328.50
  4. Step 4: Simplify right side
    601,992x = 299,389,225,206.96
  5. Step 5: Solve for x
    x = 299,389,225,206.96/601,992
  6. Step 6: Final answer
    x = 497,330.90

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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.