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Finding the Fourth Proportional to 506,928.53, 699,547.50 and 289,132.29

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Solution

The fourth proportional to 506,928.53, 699,547.50 and 289,132.29 is: 398,994.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,928.53 : 699,547.50 = 289,132.29 : x
  2. Step 2: Convert to fraction form
    506,928.53/699,547.50 = 289,132.29/x
  3. Step 3: Cross multiply
    506,928.53x = 699,547.50 × 289,132.29
  4. Step 4: Simplify right side
    506,928.53x = 202,261,770,638.78
  5. Step 5: Solve for x
    x = 202,261,770,638.78/506,928.53
  6. Step 6: Final answer
    x = 398,994.65

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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.