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Finding the Fourth Proportional to 510,586.95, 765,909.23 and 155,612.55

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Solution

The fourth proportional to 510,586.95, 765,909.23 and 155,612.55 is: 233,427.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,586.95 : 765,909.23 = 155,612.55 : x
  2. Step 2: Convert to fraction form
    510,586.95/765,909.23 = 155,612.55/x
  3. Step 3: Cross multiply
    510,586.95x = 765,909.23 × 155,612.55
  4. Step 4: Simplify right side
    510,586.95x = 119,185,087,570.77
  5. Step 5: Solve for x
    x = 119,185,087,570.77/510,586.95
  6. Step 6: Final answer
    x = 233,427.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.