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Finding the Fourth Proportional to 567,281.34, 782,848.37 and 309,158.35

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Solution

The fourth proportional to 567,281.34, 782,848.37 and 309,158.35 is: 426,638.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,281.34 : 782,848.37 = 309,158.35 : x
  2. Step 2: Convert to fraction form
    567,281.34/782,848.37 = 309,158.35/x
  3. Step 3: Cross multiply
    567,281.34x = 782,848.37 × 309,158.35
  4. Step 4: Simplify right side
    567,281.34x = 242,024,109,185.16
  5. Step 5: Solve for x
    x = 242,024,109,185.16/567,281.34
  6. Step 6: Final answer
    x = 426,638.59

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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.