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Finding the Fourth Proportional to 506,142.55, 698,485.02 and 302,211.30

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Solution

The fourth proportional to 506,142.55, 698,485.02 and 302,211.30 is: 417,056.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,142.55 : 698,485.02 = 302,211.30 : x
  2. Step 2: Convert to fraction form
    506,142.55/698,485.02 = 302,211.30/x
  3. Step 3: Cross multiply
    506,142.55x = 698,485.02 × 302,211.30
  4. Step 4: Simplify right side
    506,142.55x = 211,090,065,924.73
  5. Step 5: Solve for x
    x = 211,090,065,924.73/506,142.55
  6. Step 6: Final answer
    x = 417,056.55

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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.