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Finding the Fourth Proportional to 492,970.22, 680,298.90 and 266,615.72

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Solution

The fourth proportional to 492,970.22, 680,298.90 and 266,615.72 is: 367,929.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,970.22 : 680,298.90 = 266,615.72 : x
  2. Step 2: Convert to fraction form
    492,970.22/680,298.90 = 266,615.72/x
  3. Step 3: Cross multiply
    492,970.22x = 680,298.90 × 266,615.72
  4. Step 4: Simplify right side
    492,970.22x = 181,378,381,038.71
  5. Step 5: Solve for x
    x = 181,378,381,038.71/492,970.22
  6. Step 6: Final answer
    x = 367,929.69

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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.