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Finding the Fourth Proportional to 480,846.40, 663,564 and 265,984

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Solution

The fourth proportional to 480,846.40, 663,564 and 265,984 is: 367,055.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,846.40 : 663,564 = 265,984 : x
  2. Step 2: Convert to fraction form
    480,846.40/663,564 = 265,984/x
  3. Step 3: Cross multiply
    480,846.40x = 663,564 × 265,984
  4. Step 4: Simplify right side
    480,846.40x = 176,497,406,976
  5. Step 5: Solve for x
    x = 176,497,406,976/480,846.40
  6. Step 6: Final answer
    x = 367,055.69

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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.