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Finding the Fourth Proportional to 567,624.30, 783,281.50 and 312,970.02

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Solution

The fourth proportional to 567,624.30, 783,281.50 and 312,970.02 is: 431,876.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,624.30 : 783,281.50 = 312,970.02 : x
  2. Step 2: Convert to fraction form
    567,624.30/783,281.50 = 312,970.02/x
  3. Step 3: Cross multiply
    567,624.30x = 783,281.50 × 312,970.02
  4. Step 4: Simplify right side
    567,624.30x = 245,143,626,720.63
  5. Step 5: Solve for x
    x = 245,143,626,720.63/567,624.30
  6. Step 6: Final answer
    x = 431,876.55

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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.