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Finding the Fourth Proportional to 502,097.44, 692,605.20 and 300,776.80

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Solution

The fourth proportional to 502,097.44, 692,605.20 and 300,776.80 is: 414,898.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,097.44 : 692,605.20 = 300,776.80 : x
  2. Step 2: Convert to fraction form
    502,097.44/692,605.20 = 300,776.80/x
  3. Step 3: Cross multiply
    502,097.44x = 692,605.20 × 300,776.80
  4. Step 4: Simplify right side
    502,097.44x = 208,319,575,719.36
  5. Step 5: Solve for x
    x = 208,319,575,719.36/502,097.44
  6. Step 6: Final answer
    x = 414,898.70

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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.