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Finding the Fourth Proportional to 656,319, 905,720.58 and 354,513

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Solution

The fourth proportional to 656,319, 905,720.58 and 354,513 is: 489,228.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,319 : 905,720.58 = 354,513 : x
  2. Step 2: Convert to fraction form
    656,319/905,720.58 = 354,513/x
  3. Step 3: Cross multiply
    656,319x = 905,720.58 × 354,513
  4. Step 4: Simplify right side
    656,319x = 321,089,719,977.54
  5. Step 5: Solve for x
    x = 321,089,719,977.54/656,319
  6. Step 6: Final answer
    x = 489,228.13

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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.