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Finding the Fourth Proportional to 495,438.04, 683,720.64 and 280,573.48

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Solution

The fourth proportional to 495,438.04, 683,720.64 and 280,573.48 is: 387,200.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,438.04 : 683,720.64 = 280,573.48 : x
  2. Step 2: Convert to fraction form
    495,438.04/683,720.64 = 280,573.48/x
  3. Step 3: Cross multiply
    495,438.04x = 683,720.64 × 280,573.48
  4. Step 4: Simplify right side
    495,438.04x = 191,833,879,312.63
  5. Step 5: Solve for x
    x = 191,833,879,312.63/495,438.04
  6. Step 6: Final answer
    x = 387,200.55

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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.