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Finding the Fourth Proportional to 708,208.92, 977,297.58 and 402,284.34

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Solution

The fourth proportional to 708,208.92, 977,297.58 and 402,284.34 is: 555,134.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,208.92 : 977,297.58 = 402,284.34 : x
  2. Step 2: Convert to fraction form
    708,208.92/977,297.58 = 402,284.34/x
  3. Step 3: Cross multiply
    708,208.92x = 977,297.58 × 402,284.34
  4. Step 4: Simplify right side
    708,208.92x = 393,151,511,953.90
  5. Step 5: Solve for x
    x = 393,151,511,953.90/708,208.92
  6. Step 6: Final answer
    x = 555,134.93

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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.