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Finding the Fourth Proportional to 354,805.60, 532,208.40 and 307,112.80

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Solution

The fourth proportional to 354,805.60, 532,208.40 and 307,112.80 is: 460,669.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,805.60 : 532,208.40 = 307,112.80 : x
  2. Step 2: Convert to fraction form
    354,805.60/532,208.40 = 307,112.80/x
  3. Step 3: Cross multiply
    354,805.60x = 532,208.40 × 307,112.80
  4. Step 4: Simplify right side
    354,805.60x = 163,448,011,907.52
  5. Step 5: Solve for x
    x = 163,448,011,907.52/354,805.60
  6. Step 6: Final answer
    x = 460,669.20

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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.