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Finding the Fourth Proportional to 480,332.64, 720,513.60 and 164,785

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Solution

The fourth proportional to 480,332.64, 720,513.60 and 164,785 is: 247,182.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,332.64 : 720,513.60 = 164,785 : x
  2. Step 2: Convert to fraction form
    480,332.64/720,513.60 = 164,785/x
  3. Step 3: Cross multiply
    480,332.64x = 720,513.60 × 164,785
  4. Step 4: Simplify right side
    480,332.64x = 118,729,833,576
  5. Step 5: Solve for x
    x = 118,729,833,576/480,332.64
  6. Step 6: Final answer
    x = 247,182.52

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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.