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Finding the Fourth Proportional to 502,322.30, 692,803.86 and 330,416.78

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Solution

The fourth proportional to 502,322.30, 692,803.86 and 330,416.78 is: 455,711.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,322.30 : 692,803.86 = 330,416.78 : x
  2. Step 2: Convert to fraction form
    502,322.30/692,803.86 = 330,416.78/x
  3. Step 3: Cross multiply
    502,322.30x = 692,803.86 × 330,416.78
  4. Step 4: Simplify right side
    502,322.30x = 228,914,020,592.77
  5. Step 5: Solve for x
    x = 228,914,020,592.77/502,322.30
  6. Step 6: Final answer
    x = 455,711.44

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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.