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Finding the Fourth Proportional to 515,123.12, 710,870.10 and 285,715.52

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Solution

The fourth proportional to 515,123.12, 710,870.10 and 285,715.52 is: 394,287.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,123.12 : 710,870.10 = 285,715.52 : x
  2. Step 2: Convert to fraction form
    515,123.12/710,870.10 = 285,715.52/x
  3. Step 3: Cross multiply
    515,123.12x = 710,870.10 × 285,715.52
  4. Step 4: Simplify right side
    515,123.12x = 203,106,620,273.95
  5. Step 5: Solve for x
    x = 203,106,620,273.95/515,123.12
  6. Step 6: Final answer
    x = 394,287.53

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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.