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Finding the Fourth Proportional to 457,686.40, 687,307.20 and 339,491.20

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Solution

The fourth proportional to 457,686.40, 687,307.20 and 339,491.20 is: 509,813.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,686.40 : 687,307.20 = 339,491.20 : x
  2. Step 2: Convert to fraction form
    457,686.40/687,307.20 = 339,491.20/x
  3. Step 3: Cross multiply
    457,686.40x = 687,307.20 × 339,491.20
  4. Step 4: Simplify right side
    457,686.40x = 233,334,746,096.64
  5. Step 5: Solve for x
    x = 233,334,746,096.64/457,686.40
  6. Step 6: Final answer
    x = 509,813.59

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1.5x scale

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.