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Finding the Fourth Proportional to 507,307.37, 700,082.64 and 286,520.48

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Solution

The fourth proportional to 507,307.37, 700,082.64 and 286,520.48 is: 395,397.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,307.37 : 700,082.64 = 286,520.48 : x
  2. Step 2: Convert to fraction form
    507,307.37/700,082.64 = 286,520.48/x
  3. Step 3: Cross multiply
    507,307.37x = 700,082.64 × 286,520.48
  4. Step 4: Simplify right side
    507,307.37x = 200,588,010,552.05
  5. Step 5: Solve for x
    x = 200,588,010,552.05/507,307.37
  6. Step 6: Final answer
    x = 395,397.39

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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.