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Finding the Fourth Proportional to 613,440.59, 920,348.69 and 314,133.10

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Solution

The fourth proportional to 613,440.59, 920,348.69 and 314,133.10 is: 471,295.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,440.59 : 920,348.69 = 314,133.10 : x
  2. Step 2: Convert to fraction form
    613,440.59/920,348.69 = 314,133.10/x
  3. Step 3: Cross multiply
    613,440.59x = 920,348.69 × 314,133.10
  4. Step 4: Simplify right side
    613,440.59x = 289,111,987,070.64
  5. Step 5: Solve for x
    x = 289,111,987,070.64/613,440.59
  6. Step 6: Final answer
    x = 471,295.82

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1.5x scale

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.