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Finding the Fourth Proportional to 398,624.70, 596,209.05 and 356,807.10

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Solution

The fourth proportional to 398,624.70, 596,209.05 and 356,807.10 is: 533,663.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,624.70 : 596,209.05 = 356,807.10 : x
  2. Step 2: Convert to fraction form
    398,624.70/596,209.05 = 356,807.10/x
  3. Step 3: Cross multiply
    398,624.70x = 596,209.05 × 356,807.10
  4. Step 4: Simplify right side
    398,624.70x = 212,731,622,124.26
  5. Step 5: Solve for x
    x = 212,731,622,124.26/398,624.70
  6. Step 6: Final answer
    x = 533,663.93

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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.