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Finding the Fourth Proportional to 501,838.76, 692,512.08 and 297,898.40

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Solution

The fourth proportional to 501,838.76, 692,512.08 and 297,898.40 is: 411,084.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,838.76 : 692,512.08 = 297,898.40 : x
  2. Step 2: Convert to fraction form
    501,838.76/692,512.08 = 297,898.40/x
  3. Step 3: Cross multiply
    501,838.76x = 692,512.08 × 297,898.40
  4. Step 4: Simplify right side
    501,838.76x = 206,298,240,612.67
  5. Step 5: Solve for x
    x = 206,298,240,612.67/501,838.76
  6. Step 6: Final answer
    x = 411,084.71

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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.