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Finding the Fourth Proportional to 535,689.16, 803,510.70 and 161,701

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Solution

The fourth proportional to 535,689.16, 803,510.70 and 161,701 is: 242,544.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,689.16 : 803,510.70 = 161,701 : x
  2. Step 2: Convert to fraction form
    535,689.16/803,510.70 = 161,701/x
  3. Step 3: Cross multiply
    535,689.16x = 803,510.70 × 161,701
  4. Step 4: Simplify right side
    535,689.16x = 129,928,483,700.70
  5. Step 5: Solve for x
    x = 129,928,483,700.70/535,689.16
  6. Step 6: Final answer
    x = 242,544.55

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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.