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Finding the Fourth Proportional to 369,200.76, 509,497.32 and 199,434.90

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Solution

The fourth proportional to 369,200.76, 509,497.32 and 199,434.90 is: 275,220.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,200.76 : 509,497.32 = 199,434.90 : x
  2. Step 2: Convert to fraction form
    369,200.76/509,497.32 = 199,434.90/x
  3. Step 3: Cross multiply
    369,200.76x = 509,497.32 × 199,434.90
  4. Step 4: Simplify right side
    369,200.76x = 101,611,547,064.47
  5. Step 5: Solve for x
    x = 101,611,547,064.47/369,200.76
  6. Step 6: Final answer
    x = 275,220.31

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1.5x scale

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.