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Finding the Fourth Proportional to 658,754.20, 909,084 and 356,948.20

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Solution

The fourth proportional to 658,754.20, 909,084 and 356,948.20 is: 492,590.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,754.20 : 909,084 = 356,948.20 : x
  2. Step 2: Convert to fraction form
    658,754.20/909,084 = 356,948.20/x
  3. Step 3: Cross multiply
    658,754.20x = 909,084 × 356,948.20
  4. Step 4: Simplify right side
    658,754.20x = 324,495,897,448.80
  5. Step 5: Solve for x
    x = 324,495,897,448.80/658,754.20
  6. Step 6: Final answer
    x = 492,590.25

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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.