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Finding the Fourth Proportional to 708,267, 977,408.46 and 390,315

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Solution

The fourth proportional to 708,267, 977,408.46 and 390,315 is: 538,634.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,267 : 977,408.46 = 390,315 : x
  2. Step 2: Convert to fraction form
    708,267/977,408.46 = 390,315/x
  3. Step 3: Cross multiply
    708,267x = 977,408.46 × 390,315
  4. Step 4: Simplify right side
    708,267x = 381,497,183,064.90
  5. Step 5: Solve for x
    x = 381,497,183,064.90/708,267
  6. Step 6: Final answer
    x = 538,634.70

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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.