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Finding the Fourth Proportional to 495,234.64, 683,437.80 and 291,300.40

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Solution

The fourth proportional to 495,234.64, 683,437.80 and 291,300.40 is: 402,002.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,234.64 : 683,437.80 = 291,300.40 : x
  2. Step 2: Convert to fraction form
    495,234.64/683,437.80 = 291,300.40/x
  3. Step 3: Cross multiply
    495,234.64x = 683,437.80 × 291,300.40
  4. Step 4: Simplify right side
    495,234.64x = 199,085,704,515.12
  5. Step 5: Solve for x
    x = 199,085,704,515.12/495,234.64
  6. Step 6: Final answer
    x = 402,002.79

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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.