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Finding the Fourth Proportional to 308,688.60, 462,989.70 and 98,347.80

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Solution

The fourth proportional to 308,688.60, 462,989.70 and 98,347.80 is: 147,507.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,688.60 : 462,989.70 = 98,347.80 : x
  2. Step 2: Convert to fraction form
    308,688.60/462,989.70 = 98,347.80/x
  3. Step 3: Cross multiply
    308,688.60x = 462,989.70 × 98,347.80
  4. Step 4: Simplify right side
    308,688.60x = 45,534,018,417.66
  5. Step 5: Solve for x
    x = 45,534,018,417.66/308,688.60
  6. Step 6: Final answer
    x = 147,507.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.