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Finding the Fourth Proportional to 495,564.68, 683,875.50 and 269,211.80

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Solution

The fourth proportional to 495,564.68, 683,875.50 and 269,211.80 is: 371,510.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,564.68 : 683,875.50 = 269,211.80 : x
  2. Step 2: Convert to fraction form
    495,564.68/683,875.50 = 269,211.80/x
  3. Step 3: Cross multiply
    495,564.68x = 683,875.50 × 269,211.80
  4. Step 4: Simplify right side
    495,564.68x = 184,107,354,330.90
  5. Step 5: Solve for x
    x = 184,107,354,330.90/495,564.68
  6. Step 6: Final answer
    x = 371,510.24

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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.