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Finding the Fourth Proportional to 390,334.77, 583,898.31 and 311,602.77

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Solution

The fourth proportional to 390,334.77, 583,898.31 and 311,602.77 is: 466,123.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,334.77 : 583,898.31 = 311,602.77 : x
  2. Step 2: Convert to fraction form
    390,334.77/583,898.31 = 311,602.77/x
  3. Step 3: Cross multiply
    390,334.77x = 583,898.31 × 311,602.77
  4. Step 4: Simplify right side
    390,334.77x = 181,944,330,794.32
  5. Step 5: Solve for x
    x = 181,944,330,794.32/390,334.77
  6. Step 6: Final answer
    x = 466,123.81

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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.