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Finding the Fourth Proportional to 346,384.56, 477,959.44 and 210,347.76

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Solution

The fourth proportional to 346,384.56, 477,959.44 and 210,347.76 is: 290,248.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,384.56 : 477,959.44 = 210,347.76 : x
  2. Step 2: Convert to fraction form
    346,384.56/477,959.44 = 210,347.76/x
  3. Step 3: Cross multiply
    346,384.56x = 477,959.44 × 210,347.76
  4. Step 4: Simplify right side
    346,384.56x = 100,537,697,574.85
  5. Step 5: Solve for x
    x = 100,537,697,574.85/346,384.56
  6. Step 6: Final answer
    x = 290,248.78

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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.