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Finding the Fourth Proportional to 502,006.87, 692,768.05 and 300,802.87

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Solution

The fourth proportional to 502,006.87, 692,768.05 and 300,802.87 is: 415,107.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,006.87 : 692,768.05 = 300,802.87 : x
  2. Step 2: Convert to fraction form
    502,006.87/692,768.05 = 300,802.87/x
  3. Step 3: Cross multiply
    502,006.87x = 692,768.05 × 300,802.87
  4. Step 4: Simplify right side
    502,006.87x = 208,386,617,684.30
  5. Step 5: Solve for x
    x = 208,386,617,684.30/502,006.87
  6. Step 6: Final answer
    x = 415,107.10

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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.