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Finding the Fourth Proportional to 495,870.78, 684,301.62 and 294,666.78

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Solution

The fourth proportional to 495,870.78, 684,301.62 and 294,666.78 is: 406,640.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,870.78 : 684,301.62 = 294,666.78 : x
  2. Step 2: Convert to fraction form
    495,870.78/684,301.62 = 294,666.78/x
  3. Step 3: Cross multiply
    495,870.78x = 684,301.62 × 294,666.78
  4. Step 4: Simplify right side
    495,870.78x = 201,640,954,914.18
  5. Step 5: Solve for x
    x = 201,640,954,914.18/495,870.78
  6. Step 6: Final answer
    x = 406,640.12

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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.