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Finding the Fourth Proportional to 459,006.30, 688,509.45 and 340,908.30

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Solution

The fourth proportional to 459,006.30, 688,509.45 and 340,908.30 is: 511,362.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,006.30 : 688,509.45 = 340,908.30 : x
  2. Step 2: Convert to fraction form
    459,006.30/688,509.45 = 340,908.30/x
  3. Step 3: Cross multiply
    459,006.30x = 688,509.45 × 340,908.30
  4. Step 4: Simplify right side
    459,006.30x = 234,718,586,133.44
  5. Step 5: Solve for x
    x = 234,718,586,133.44/459,006.30
  6. Step 6: Final answer
    x = 511,362.45

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Similar ratio
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1.5x scale

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.