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Finding the Fourth Proportional to 564,624.50, 779,081.19 and 319,608.02

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Solution

The fourth proportional to 564,624.50, 779,081.19 and 319,608.02 is: 441,002.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,624.50 : 779,081.19 = 319,608.02 : x
  2. Step 2: Convert to fraction form
    564,624.50/779,081.19 = 319,608.02/x
  3. Step 3: Cross multiply
    564,624.50x = 779,081.19 × 319,608.02
  4. Step 4: Simplify right side
    564,624.50x = 249,000,596,555.14
  5. Step 5: Solve for x
    x = 249,000,596,555.14/564,624.50
  6. Step 6: Final answer
    x = 441,002.11

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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.