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Finding the Fourth Proportional to 305,315.40, 457,965.90 and 83,699.40

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Solution

The fourth proportional to 305,315.40, 457,965.90 and 83,699.40 is: 125,547.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,315.40 : 457,965.90 = 83,699.40 : x
  2. Step 2: Convert to fraction form
    305,315.40/457,965.90 = 83,699.40/x
  3. Step 3: Cross multiply
    305,315.40x = 457,965.90 × 83,699.40
  4. Step 4: Simplify right side
    305,315.40x = 38,331,471,050.46
  5. Step 5: Solve for x
    x = 38,331,471,050.46/305,315.40
  6. Step 6: Final answer
    x = 125,547.13

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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.