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Finding the Fourth Proportional to 502,002.87, 692,762.54 and 300,798.87

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Solution

The fourth proportional to 502,002.87, 692,762.54 and 300,798.87 is: 415,101.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,002.87 : 692,762.54 = 300,798.87 : x
  2. Step 2: Convert to fraction form
    502,002.87/692,762.54 = 300,798.87/x
  3. Step 3: Cross multiply
    502,002.87x = 692,762.54 × 300,798.87
  4. Step 4: Simplify right side
    502,002.87x = 208,382,187,706.34
  5. Step 5: Solve for x
    x = 208,382,187,706.34/502,002.87
  6. Step 6: Final answer
    x = 415,101.59

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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.