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Finding the Fourth Proportional to 502,151.84, 692,966.40 and 300,947.84

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Solution

The fourth proportional to 502,151.84, 692,966.40 and 300,947.84 is: 415,306.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,151.84 : 692,966.40 = 300,947.84 : x
  2. Step 2: Convert to fraction form
    502,151.84/692,966.40 = 300,947.84/x
  3. Step 3: Cross multiply
    502,151.84x = 692,966.40 × 300,947.84
  4. Step 4: Simplify right side
    502,151.84x = 208,546,741,272.58
  5. Step 5: Solve for x
    x = 208,546,741,272.58/502,151.84
  6. Step 6: Final answer
    x = 415,306.14

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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.