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Finding the Fourth Proportional to 506,201.88, 698,734.52 and 291,427.55

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Solution

The fourth proportional to 506,201.88, 698,734.52 and 291,427.55 is: 402,271.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,201.88 : 698,734.52 = 291,427.55 : x
  2. Step 2: Convert to fraction form
    506,201.88/698,734.52 = 291,427.55/x
  3. Step 3: Cross multiply
    506,201.88x = 698,734.52 × 291,427.55
  4. Step 4: Simplify right side
    506,201.88x = 203,630,484,313.22
  5. Step 5: Solve for x
    x = 203,630,484,313.22/506,201.88
  6. Step 6: Final answer
    x = 402,271.29

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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.