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Finding the Fourth Proportional to 507,153, 699,893.01 and 280,798.50

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Solution

The fourth proportional to 507,153, 699,893.01 and 280,798.50 is: 387,514.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,153 : 699,893.01 = 280,798.50 : x
  2. Step 2: Convert to fraction form
    507,153/699,893.01 = 280,798.50/x
  3. Step 3: Cross multiply
    507,153x = 699,893.01 × 280,798.50
  4. Step 4: Simplify right side
    507,153x = 196,528,907,368.49
  5. Step 5: Solve for x
    x = 196,528,907,368.49/507,153
  6. Step 6: Final answer
    x = 387,514.04

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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.