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Finding the Fourth Proportional to 320,496, 480,750.48 and 98,880

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Solution

The fourth proportional to 320,496, 480,750.48 and 98,880 is: 148,322.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,496 : 480,750.48 = 98,880 : x
  2. Step 2: Convert to fraction form
    320,496/480,750.48 = 98,880/x
  3. Step 3: Cross multiply
    320,496x = 480,750.48 × 98,880
  4. Step 4: Simplify right side
    320,496x = 47,536,607,462.40
  5. Step 5: Solve for x
    x = 47,536,607,462.40/320,496
  6. Step 6: Final answer
    x = 148,322.00

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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.