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Finding the Fourth Proportional to 495,830.80, 744,437.40 and 309,206.80

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Solution

The fourth proportional to 495,830.80, 744,437.40 and 309,206.80 is: 464,241.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,830.80 : 744,437.40 = 309,206.80 : x
  2. Step 2: Convert to fraction form
    495,830.80/744,437.40 = 309,206.80/x
  3. Step 3: Cross multiply
    495,830.80x = 744,437.40 × 309,206.80
  4. Step 4: Simplify right side
    495,830.80x = 230,185,106,254.32
  5. Step 5: Solve for x
    x = 230,185,106,254.32/495,830.80
  6. Step 6: Final answer
    x = 464,241.24

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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.