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Finding the Fourth Proportional to 390,595.76, 539,017.30 and 229,465.50

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Solution

The fourth proportional to 390,595.76, 539,017.30 and 229,465.50 is: 316,659.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,595.76 : 539,017.30 = 229,465.50 : x
  2. Step 2: Convert to fraction form
    390,595.76/539,017.30 = 229,465.50/x
  3. Step 3: Cross multiply
    390,595.76x = 539,017.30 × 229,465.50
  4. Step 4: Simplify right side
    390,595.76x = 123,685,874,253.15
  5. Step 5: Solve for x
    x = 123,685,874,253.15/390,595.76
  6. Step 6: Final answer
    x = 316,659.54

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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.