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Finding the Fourth Proportional to 458,466.90, 686,145.15 and 402,479.70

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Solution

The fourth proportional to 458,466.90, 686,145.15 and 402,479.70 is: 602,354.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,466.90 : 686,145.15 = 402,479.70 : x
  2. Step 2: Convert to fraction form
    458,466.90/686,145.15 = 402,479.70/x
  3. Step 3: Cross multiply
    458,466.90x = 686,145.15 × 402,479.70
  4. Step 4: Simplify right side
    458,466.90x = 276,159,494,128.46
  5. Step 5: Solve for x
    x = 276,159,494,128.46/458,466.90
  6. Step 6: Final answer
    x = 602,354.27

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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.