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Finding the Fourth Proportional to 462,830.70, 638,765.52 and 258,892.95

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Solution

The fourth proportional to 462,830.70, 638,765.52 and 258,892.95 is: 357,305.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,830.70 : 638,765.52 = 258,892.95 : x
  2. Step 2: Convert to fraction form
    462,830.70/638,765.52 = 258,892.95/x
  3. Step 3: Cross multiply
    462,830.70x = 638,765.52 × 258,892.95
  4. Step 4: Simplify right side
    462,830.70x = 165,371,889,831.08
  5. Step 5: Solve for x
    x = 165,371,889,831.08/462,830.70
  6. Step 6: Final answer
    x = 357,305.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.