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Finding the Fourth Proportional to 502,130.94, 692,651.43 and 300,810.30

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Solution

The fourth proportional to 502,130.94, 692,651.43 and 300,810.30 is: 414,944.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,130.94 : 692,651.43 = 300,810.30 : x
  2. Step 2: Convert to fraction form
    502,130.94/692,651.43 = 300,810.30/x
  3. Step 3: Cross multiply
    502,130.94x = 692,651.43 × 300,810.30
  4. Step 4: Simplify right side
    502,130.94x = 208,356,684,453.73
  5. Step 5: Solve for x
    x = 208,356,684,453.73/502,130.94
  6. Step 6: Final answer
    x = 414,944.92

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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.