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Finding the Fourth Proportional to 509,095.90, 702,529.60 and 305,259.33

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Solution

The fourth proportional to 509,095.90, 702,529.60 and 305,259.33 is: 421,244.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,095.90 : 702,529.60 = 305,259.33 : x
  2. Step 2: Convert to fraction form
    509,095.90/702,529.60 = 305,259.33/x
  3. Step 3: Cross multiply
    509,095.90x = 702,529.60 × 305,259.33
  4. Step 4: Simplify right side
    509,095.90x = 214,453,715,001.17
  5. Step 5: Solve for x
    x = 214,453,715,001.17/509,095.90
  6. Step 6: Final answer
    x = 421,244.24

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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.