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Finding the Fourth Proportional to 462,405, 693,607.50 and 129,981

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Solution

The fourth proportional to 462,405, 693,607.50 and 129,981 is: 194,971.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,405 : 693,607.50 = 129,981 : x
  2. Step 2: Convert to fraction form
    462,405/693,607.50 = 129,981/x
  3. Step 3: Cross multiply
    462,405x = 693,607.50 × 129,981
  4. Step 4: Simplify right side
    462,405x = 90,155,796,457.50
  5. Step 5: Solve for x
    x = 90,155,796,457.50/462,405
  6. Step 6: Final answer
    x = 194,971.50

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1.5x scale

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.