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Finding the Fourth Proportional to 612,457.74, 845,229.96 and 340,586.46

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Solution

The fourth proportional to 612,457.74, 845,229.96 and 340,586.46 is: 470,030.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,457.74 : 845,229.96 = 340,586.46 : x
  2. Step 2: Convert to fraction form
    612,457.74/845,229.96 = 340,586.46/x
  3. Step 3: Cross multiply
    612,457.74x = 845,229.96 × 340,586.46
  4. Step 4: Simplify right side
    612,457.74x = 287,873,879,962.34
  5. Step 5: Solve for x
    x = 287,873,879,962.34/612,457.74
  6. Step 6: Final answer
    x = 470,030.60

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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.