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Finding the Fourth Proportional to 553,652.16, 764,020.45 and 311,985.42

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Solution

The fourth proportional to 553,652.16, 764,020.45 and 311,985.42 is: 430,528.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,652.16 : 764,020.45 = 311,985.42 : x
  2. Step 2: Convert to fraction form
    553,652.16/764,020.45 = 311,985.42/x
  3. Step 3: Cross multiply
    553,652.16x = 764,020.45 × 311,985.42
  4. Step 4: Simplify right side
    553,652.16x = 238,363,240,981.84
  5. Step 5: Solve for x
    x = 238,363,240,981.84/553,652.16
  6. Step 6: Final answer
    x = 430,528.87

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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.