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Finding the Fourth Proportional to 309,480, 464,427.54 and 112,488

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Solution

The fourth proportional to 309,480, 464,427.54 and 112,488 is: 168,807.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,480 : 464,427.54 = 112,488 : x
  2. Step 2: Convert to fraction form
    309,480/464,427.54 = 112,488/x
  3. Step 3: Cross multiply
    309,480x = 464,427.54 × 112,488
  4. Step 4: Simplify right side
    309,480x = 52,242,525,119.52
  5. Step 5: Solve for x
    x = 52,242,525,119.52/309,480
  6. Step 6: Final answer
    x = 168,807.44

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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.