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Finding the Fourth Proportional to 457,779.40, 685,286.70 and 402,483.40

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Solution

The fourth proportional to 457,779.40, 685,286.70 and 402,483.40 is: 602,509.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,779.40 : 685,286.70 = 402,483.40 : x
  2. Step 2: Convert to fraction form
    457,779.40/685,286.70 = 402,483.40/x
  3. Step 3: Cross multiply
    457,779.40x = 685,286.70 × 402,483.40
  4. Step 4: Simplify right side
    457,779.40x = 275,816,520,990.78
  5. Step 5: Solve for x
    x = 275,816,520,990.78/457,779.40
  6. Step 6: Final answer
    x = 602,509.68

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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.