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Finding the Fourth Proportional to 502,223.76, 692,812.80 and 320,744.88

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Solution

The fourth proportional to 502,223.76, 692,812.80 and 320,744.88 is: 442,464.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,223.76 : 692,812.80 = 320,744.88 : x
  2. Step 2: Convert to fraction form
    502,223.76/692,812.80 = 320,744.88/x
  3. Step 3: Cross multiply
    502,223.76x = 692,812.80 × 320,744.88
  4. Step 4: Simplify right side
    502,223.76x = 222,216,158,398.46
  5. Step 5: Solve for x
    x = 222,216,158,398.46/502,223.76
  6. Step 6: Final answer
    x = 442,464.45

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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.