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Finding the Fourth Proportional to 708,270, 977,453.64 and 406,483.44

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Solution

The fourth proportional to 708,270, 977,453.64 and 406,483.44 is: 560,970.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,270 : 977,453.64 = 406,483.44 : x
  2. Step 2: Convert to fraction form
    708,270/977,453.64 = 406,483.44/x
  3. Step 3: Cross multiply
    708,270x = 977,453.64 × 406,483.44
  4. Step 4: Simplify right side
    708,270x = 397,318,718,027.72
  5. Step 5: Solve for x
    x = 397,318,718,027.72/708,270
  6. Step 6: Final answer
    x = 560,970.70

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1.5x scale

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.