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Finding the Fourth Proportional to 495,298.70, 683,473.49 and 291,357.30

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Solution

The fourth proportional to 495,298.70, 683,473.49 and 291,357.30 is: 402,050.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,298.70 : 683,473.49 = 291,357.30 : x
  2. Step 2: Convert to fraction form
    495,298.70/683,473.49 = 291,357.30/x
  3. Step 3: Cross multiply
    495,298.70x = 683,473.49 × 291,357.30
  4. Step 4: Simplify right side
    495,298.70x = 199,134,994,505.69
  5. Step 5: Solve for x
    x = 199,134,994,505.69/495,298.70
  6. Step 6: Final answer
    x = 402,050.31

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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.