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Finding the Fourth Proportional to 567,281.61, 782,848.67 and 309,158.64

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Solution

The fourth proportional to 567,281.61, 782,848.67 and 309,158.64 is: 426,638.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,281.61 : 782,848.67 = 309,158.64 : x
  2. Step 2: Convert to fraction form
    567,281.61/782,848.67 = 309,158.64/x
  3. Step 3: Cross multiply
    567,281.61x = 782,848.67 × 309,158.64
  4. Step 4: Simplify right side
    567,281.61x = 242,024,428,597.22
  5. Step 5: Solve for x
    x = 242,024,428,597.22/567,281.61
  6. Step 6: Final answer
    x = 426,638.95

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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.