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Finding the Fourth Proportional to 462,828.70, 638,762.76 and 258,890.95

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Solution

The fourth proportional to 462,828.70, 638,762.76 and 258,890.95 is: 357,302.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,828.70 : 638,762.76 = 258,890.95 : x
  2. Step 2: Convert to fraction form
    462,828.70/638,762.76 = 258,890.95/x
  3. Step 3: Cross multiply
    462,828.70x = 638,762.76 × 258,890.95
  4. Step 4: Simplify right side
    462,828.70x = 165,369,897,761.02
  5. Step 5: Solve for x
    x = 165,369,897,761.02/462,828.70
  6. Step 6: Final answer
    x = 357,302.60

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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.