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Finding the Fourth Proportional to 708,268, 977,409.84 and 390,316

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Solution

The fourth proportional to 708,268, 977,409.84 and 390,316 is: 538,636.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,268 : 977,409.84 = 390,316 : x
  2. Step 2: Convert to fraction form
    708,268/977,409.84 = 390,316/x
  3. Step 3: Cross multiply
    708,268x = 977,409.84 × 390,316
  4. Step 4: Simplify right side
    708,268x = 381,498,699,109.44
  5. Step 5: Solve for x
    x = 381,498,699,109.44/708,268
  6. Step 6: Final answer
    x = 538,636.08

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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.