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Finding the Fourth Proportional to 457,775.40, 685,280.70 and 402,479.40

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Solution

The fourth proportional to 457,775.40, 685,280.70 and 402,479.40 is: 602,503.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,775.40 : 685,280.70 = 402,479.40 : x
  2. Step 2: Convert to fraction form
    457,775.40/685,280.70 = 402,479.40/x
  3. Step 3: Cross multiply
    457,775.40x = 685,280.70 × 402,479.40
  4. Step 4: Simplify right side
    457,775.40x = 275,811,364,967.58
  5. Step 5: Solve for x
    x = 275,811,364,967.58/457,775.40
  6. Step 6: Final answer
    x = 602,503.68

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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.