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Finding the Fourth Proportional to 502,153.22, 692,802.84 and 284,332.12

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Solution

The fourth proportional to 502,153.22, 692,802.84 and 284,332.12 is: 392,282.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,153.22 : 692,802.84 = 284,332.12 : x
  2. Step 2: Convert to fraction form
    502,153.22/692,802.84 = 284,332.12/x
  3. Step 3: Cross multiply
    502,153.22x = 692,802.84 × 284,332.12
  4. Step 4: Simplify right side
    502,153.22x = 196,986,100,239.22
  5. Step 5: Solve for x
    x = 196,986,100,239.22/502,153.22
  6. Step 6: Final answer
    x = 392,282.86

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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.