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Finding the Fourth Proportional to 495,871.78, 684,303 and 294,667.78

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Solution

The fourth proportional to 495,871.78, 684,303 and 294,667.78 is: 406,641.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,871.78 : 684,303 = 294,667.78 : x
  2. Step 2: Convert to fraction form
    495,871.78/684,303 = 294,667.78/x
  3. Step 3: Cross multiply
    495,871.78x = 684,303 × 294,667.78
  4. Step 4: Simplify right side
    495,871.78x = 201,642,045,857.34
  5. Step 5: Solve for x
    x = 201,642,045,857.34/495,871.78
  6. Step 6: Final answer
    x = 406,641.50

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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.