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Finding the Fourth Proportional to 495,864.80, 744,488.40 and 309,240.80

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Solution

The fourth proportional to 495,864.80, 744,488.40 and 309,240.80 is: 464,292.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,864.80 : 744,488.40 = 309,240.80 : x
  2. Step 2: Convert to fraction form
    495,864.80/744,488.40 = 309,240.80/x
  3. Step 3: Cross multiply
    495,864.80x = 744,488.40 × 309,240.80
  4. Step 4: Simplify right side
    495,864.80x = 230,226,188,406.72
  5. Step 5: Solve for x
    x = 230,226,188,406.72/495,864.80
  6. Step 6: Final answer
    x = 464,292.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.