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Finding the Fourth Proportional to 495,594.12, 683,897.88 and 280,729.86

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Solution

The fourth proportional to 495,594.12, 683,897.88 and 280,729.86 is: 387,394.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,594.12 : 683,897.88 = 280,729.86 : x
  2. Step 2: Convert to fraction form
    495,594.12/683,897.88 = 280,729.86/x
  3. Step 3: Cross multiply
    495,594.12x = 683,897.88 × 280,729.86
  4. Step 4: Simplify right side
    495,594.12x = 191,990,556,106.70
  5. Step 5: Solve for x
    x = 191,990,556,106.70/495,594.12
  6. Step 6: Final answer
    x = 387,394.74

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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.