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Finding the Fourth Proportional to 708,257, 977,394.66 and 390,305

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Solution

The fourth proportional to 708,257, 977,394.66 and 390,305 is: 538,620.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,257 : 977,394.66 = 390,305 : x
  2. Step 2: Convert to fraction form
    708,257/977,394.66 = 390,305/x
  3. Step 3: Cross multiply
    708,257x = 977,394.66 × 390,305
  4. Step 4: Simplify right side
    708,257x = 381,482,022,771.30
  5. Step 5: Solve for x
    x = 381,482,022,771.30/708,257
  6. Step 6: Final answer
    x = 538,620.90

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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.