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Finding the Fourth Proportional to 506,012.58, 698,269.95 and 279,643.50

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Solution

The fourth proportional to 506,012.58, 698,269.95 and 279,643.50 is: 385,892.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,012.58 : 698,269.95 = 279,643.50 : x
  2. Step 2: Convert to fraction form
    506,012.58/698,269.95 = 279,643.50/x
  3. Step 3: Cross multiply
    506,012.58x = 698,269.95 × 279,643.50
  4. Step 4: Simplify right side
    506,012.58x = 195,266,652,762.83
  5. Step 5: Solve for x
    x = 195,266,652,762.83/506,012.58
  6. Step 6: Final answer
    x = 385,892.88

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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.