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Finding the Fourth Proportional to 495,522, 683,809.20 and 288,777.60

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Solution

The fourth proportional to 495,522, 683,809.20 and 288,777.60 is: 398,506.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,522 : 683,809.20 = 288,777.60 : x
  2. Step 2: Convert to fraction form
    495,522/683,809.20 = 288,777.60/x
  3. Step 3: Cross multiply
    495,522x = 683,809.20 × 288,777.60
  4. Step 4: Simplify right side
    495,522x = 197,468,779,633.92
  5. Step 5: Solve for x
    x = 197,468,779,633.92/495,522
  6. Step 6: Final answer
    x = 398,506.58

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1.5x scale

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.