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Finding the Fourth Proportional to 357,496.85, 493,225.61 and 202,426.95

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Solution

The fourth proportional to 357,496.85, 493,225.61 and 202,426.95 is: 279,281.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,496.85 : 493,225.61 = 202,426.95 : x
  2. Step 2: Convert to fraction form
    357,496.85/493,225.61 = 202,426.95/x
  3. Step 3: Cross multiply
    357,496.85x = 493,225.61 × 202,426.95
  4. Step 4: Simplify right side
    357,496.85x = 99,842,153,428.06
  5. Step 5: Solve for x
    x = 99,842,153,428.06/357,496.85
  6. Step 6: Final answer
    x = 279,281.22

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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.