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Finding the Fourth Proportional to 430,098, 640,979.94 and 407,703.12

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Solution

The fourth proportional to 430,098, 640,979.94 and 407,703.12 is: 607,604.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,098 : 640,979.94 = 407,703.12 : x
  2. Step 2: Convert to fraction form
    430,098/640,979.94 = 407,703.12/x
  3. Step 3: Cross multiply
    430,098x = 640,979.94 × 407,703.12
  4. Step 4: Simplify right side
    430,098x = 261,329,521,395.41
  5. Step 5: Solve for x
    x = 261,329,521,395.41/430,098
  6. Step 6: Final answer
    x = 607,604.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.