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Finding the Fourth Proportional to 509,195.10, 702,711.46 and 282,840.60

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Solution

The fourth proportional to 509,195.10, 702,711.46 and 282,840.60 is: 390,332.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,195.10 : 702,711.46 = 282,840.60 : x
  2. Step 2: Convert to fraction form
    509,195.10/702,711.46 = 282,840.60/x
  3. Step 3: Cross multiply
    509,195.10x = 702,711.46 × 282,840.60
  4. Step 4: Simplify right side
    509,195.10x = 198,755,330,973.28
  5. Step 5: Solve for x
    x = 198,755,330,973.28/509,195.10
  6. Step 6: Final answer
    x = 390,332.37

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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.