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Finding the Fourth Proportional to 507,751, 700,696.38 and 281,411.08

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Solution

The fourth proportional to 507,751, 700,696.38 and 281,411.08 is: 388,347.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,751 : 700,696.38 = 281,411.08 : x
  2. Step 2: Convert to fraction form
    507,751/700,696.38 = 281,411.08/x
  3. Step 3: Cross multiply
    507,751x = 700,696.38 × 281,411.08
  4. Step 4: Simplify right side
    507,751x = 197,183,725,047.89
  5. Step 5: Solve for x
    x = 197,183,725,047.89/507,751
  6. Step 6: Final answer
    x = 388,347.29

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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.