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Finding the Fourth Proportional to 708,296.72, 977,421 and 385,999.84

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Solution

The fourth proportional to 708,296.72, 977,421 and 385,999.84 is: 532,664.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,296.72 : 977,421 = 385,999.84 : x
  2. Step 2: Convert to fraction form
    708,296.72/977,421 = 385,999.84/x
  3. Step 3: Cross multiply
    708,296.72x = 977,421 × 385,999.84
  4. Step 4: Simplify right side
    708,296.72x = 377,284,349,612.64
  5. Step 5: Solve for x
    x = 377,284,349,612.64/708,296.72
  6. Step 6: Final answer
    x = 532,664.26

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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.