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Finding the Fourth Proportional to 515,202.53, 710,986.87 and 311,225.14

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Solution

The fourth proportional to 515,202.53, 710,986.87 and 311,225.14 is: 429,495.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,202.53 : 710,986.87 = 311,225.14 : x
  2. Step 2: Convert to fraction form
    515,202.53/710,986.87 = 311,225.14/x
  3. Step 3: Cross multiply
    515,202.53x = 710,986.87 × 311,225.14
  4. Step 4: Simplify right side
    515,202.53x = 221,276,983,681.73
  5. Step 5: Solve for x
    x = 221,276,983,681.73/515,202.53
  6. Step 6: Final answer
    x = 429,495.15

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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.