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Finding the Fourth Proportional to 213,386.40, 319,388.40 and 166,384.80

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Solution

The fourth proportional to 213,386.40, 319,388.40 and 166,384.80 is: 249,038.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,386.40 : 319,388.40 = 166,384.80 : x
  2. Step 2: Convert to fraction form
    213,386.40/319,388.40 = 166,384.80/x
  3. Step 3: Cross multiply
    213,386.40x = 319,388.40 × 166,384.80
  4. Step 4: Simplify right side
    213,386.40x = 53,141,375,056.32
  5. Step 5: Solve for x
    x = 53,141,375,056.32/213,386.40
  6. Step 6: Final answer
    x = 249,038.25

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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.