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Finding the Fourth Proportional to 311,699.18, 430,123.28 and 175,737.98

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Solution

The fourth proportional to 311,699.18, 430,123.28 and 175,737.98 is: 242,506.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,699.18 : 430,123.28 = 175,737.98 : x
  2. Step 2: Convert to fraction form
    311,699.18/430,123.28 = 175,737.98/x
  3. Step 3: Cross multiply
    311,699.18x = 430,123.28 × 175,737.98
  4. Step 4: Simplify right side
    311,699.18x = 75,588,996,378.17
  5. Step 5: Solve for x
    x = 75,588,996,378.17/311,699.18
  6. Step 6: Final answer
    x = 242,506.24

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1.5x scale

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.