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Finding the Fourth Proportional to 417,830.90, 627,155.95 and 207,706.10

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Solution

The fourth proportional to 417,830.90, 627,155.95 and 207,706.10 is: 311,762.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,830.90 : 627,155.95 = 207,706.10 : x
  2. Step 2: Convert to fraction form
    417,830.90/627,155.95 = 207,706.10/x
  3. Step 3: Cross multiply
    417,830.90x = 627,155.95 × 207,706.10
  4. Step 4: Simplify right side
    417,830.90x = 130,264,116,466.30
  5. Step 5: Solve for x
    x = 130,264,116,466.30/417,830.90
  6. Step 6: Final answer
    x = 311,762.76

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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.